Physics Letters B, ISSN 0370-2693, 05/2016, Volume 756, Issue C, pp. 358 - 364

We construct Higgs Effective Field Theory (HEFT) based on the scalar manifold Hn, which is a hyperbolic space of constant negative curvature...

BREAKING | PHYSICS, NUCLEAR | ASTRONOMY & ASTROPHYSICS | VACUUM MISALIGNMENT | PHYSICS, PARTICLES & FIELDS | Manifolds | Mathematical analysis | Elementary particles | Constants | Deviation | Cross sections | Curvature | Symmetry | Physics - High Energy Physics - Phenomenology | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Nuclear and High Energy Physics | Mathematics | Differential Geometry | Physics | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

BREAKING | PHYSICS, NUCLEAR | ASTRONOMY & ASTROPHYSICS | VACUUM MISALIGNMENT | PHYSICS, PARTICLES & FIELDS | Manifolds | Mathematical analysis | Elementary particles | Constants | Deviation | Cross sections | Curvature | Symmetry | Physics - High Energy Physics - Phenomenology | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Nuclear and High Energy Physics | Mathematics | Differential Geometry | Physics | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 06/2018, Volume 274, Issue 11, pp. 3056 - 3089

.... Our main results are that when curvature is non-negative, but not necessarily positive, the spectral gap, the Cheeger isoperimetric constant and the modified logarithmic Sobolev constant of the chain...

Discrete Ricci curvature | Functional inequalities | Spectral gap | Zero range process | METRIC-MEASURE-SPACES | TRANSPORTATION | CONVEXITY | 1ST EIGENVALUE | CONSTANT | GRAPHS | MATHEMATICS | BOUNDS | MANIFOLD | ENTROPY

Discrete Ricci curvature | Functional inequalities | Spectral gap | Zero range process | METRIC-MEASURE-SPACES | TRANSPORTATION | CONVEXITY | 1ST EIGENVALUE | CONSTANT | GRAPHS | MATHEMATICS | BOUNDS | MANIFOLD | ENTROPY

Journal Article

Annali di matematica pura ed applicata, ISSN 1618-1891, 2015, Volume 195, Issue 2, pp. 459 - 471

Let $$M$$ M be a complete, simply connected Riemannian manifold with negative curvature...

Primary 46E35 | 58E35 | Moser–Trudinger inequality | Negative curvature | Mathematics, general | Mathematics | Sharp constant | Riemannian manifold | MATHEMATICS | MATHEMATICS, APPLIED | Moser-Trudinger inequality | SPACES | UNBOUNDED-DOMAINS | Business education | Mathematics - Analysis of PDEs

Primary 46E35 | 58E35 | Moser–Trudinger inequality | Negative curvature | Mathematics, general | Mathematics | Sharp constant | Riemannian manifold | MATHEMATICS | MATHEMATICS, APPLIED | Moser-Trudinger inequality | SPACES | UNBOUNDED-DOMAINS | Business education | Mathematics - Analysis of PDEs

Journal Article

数学学报：英文版, ISSN 1439-8516, 2016, Volume 32, Issue 7, pp. 856 - 866

Let M be a complete, simply connected Riemannian manifold with negative curvature...

Hardy不等式 | 插值 | 负曲率流形 | 黎曼流形 | 58E35 | 46E35 | Moser–Trudinger inequality | Mathematics, general | Hardy inequality | Mathematics | negative curvature | Riemannian manifold | MATHEMATICS | MATHEMATICS, APPLIED | R-N | Moser-Trudinger inequality | ADAMS-TYPE INEQUALITIES | UNBOUNDED-DOMAINS | HYPERBOLIC SPACES | SOBOLEV INEQUALITIES | Equality | Studies | Mathematical models | Topological manifolds | Inequality | Manifolds | Interpolation | Constants | Mathematical analysis | Curvature | Inequalities

Hardy不等式 | 插值 | 负曲率流形 | 黎曼流形 | 58E35 | 46E35 | Moser–Trudinger inequality | Mathematics, general | Hardy inequality | Mathematics | negative curvature | Riemannian manifold | MATHEMATICS | MATHEMATICS, APPLIED | R-N | Moser-Trudinger inequality | ADAMS-TYPE INEQUALITIES | UNBOUNDED-DOMAINS | HYPERBOLIC SPACES | SOBOLEV INEQUALITIES | Equality | Studies | Mathematical models | Topological manifolds | Inequality | Manifolds | Interpolation | Constants | Mathematical analysis | Curvature | Inequalities

Journal Article

2011, 6th ed., ISBN 0821852825, xv, 420

Book

6.
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On Bäcklund and Ribaucour transformations for surfaces with constant negative curvature

Geometriae Dedicata, ISSN 0046-5755, 4/2016, Volume 181, Issue 1, pp. 83 - 102

Given a surface in the Euclidean 3-space with constant negative Gaussian curvature, the composition...

Geometry | 53C42 | Bäcklund transformations | Surfaces with constant negative curvature | 35L70 | Sine-Gordon equation | 53C21 | Mathematics | 53A05 | 35Q51 | Ribaucour transformations | SPACE | MATHEMATICS | LINEAR WEINGARTEN SURFACES | MEAN-CURVATURE | Backlund transformations | GEOMETRY

Geometry | 53C42 | Bäcklund transformations | Surfaces with constant negative curvature | 35L70 | Sine-Gordon equation | 53C21 | Mathematics | 53A05 | 35Q51 | Ribaucour transformations | SPACE | MATHEMATICS | LINEAR WEINGARTEN SURFACES | MEAN-CURVATURE | Backlund transformations | GEOMETRY

Journal Article

Communications in Contemporary Mathematics, ISSN 0219-1997, 04/2014, Volume 16, Issue 2, pp. 1350043 - 1-1350043-24

Let M be a complete, simply connected Riemannian manifold with negative curvature...

sharp constant | Rellich inequality | Hardy inequality | negative curvature | Riemannian manifold | MATHEMATICS | MATHEMATICS, APPLIED | CONSTANTS | RELLICH INEQUALITIES | EQUATION | ASYMPTOTIC-BEHAVIOR | Manifolds | Constants | Surface hardness | Mathematical analysis | Curvature | Inequalities

sharp constant | Rellich inequality | Hardy inequality | negative curvature | Riemannian manifold | MATHEMATICS | MATHEMATICS, APPLIED | CONSTANTS | RELLICH INEQUALITIES | EQUATION | ASYMPTOTIC-BEHAVIOR | Manifolds | Constants | Surface hardness | Mathematical analysis | Curvature | Inequalities

Journal Article

8.
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Curvature Dependence of the Liquid-Vapor Surface Tension beyond the Tolman Approximation

Physical Review Letters, ISSN 0031-9007, 02/2016, Volume 116, Issue 5, p. 056102

...) is readily measured for a flat liquid-vapor interface. For interfaces with a small radius of curvature R, the surface tension might differ from sigma(infinity...

PRESSURE | PHYSICS, MULTIDISCIPLINARY | NUCLEUS | HOMOGENEOUS NUCLEATION RATES | LENGTH | SIZE | CHAMBER | CONDENSATION | SYSTEMS | FREE-ENERGY | WATER | Models, Theoretical | Gases - chemistry | Surface Tension | Nucleation | Approximation | Mathematical analysis | Liquid-vapor interfaces | Constants | Surface tension | Mathematical models | Droplets | Physics - Chemical Physics | Engineering Sciences | Chemical Sciences | Physics

PRESSURE | PHYSICS, MULTIDISCIPLINARY | NUCLEUS | HOMOGENEOUS NUCLEATION RATES | LENGTH | SIZE | CHAMBER | CONDENSATION | SYSTEMS | FREE-ENERGY | WATER | Models, Theoretical | Gases - chemistry | Surface Tension | Nucleation | Approximation | Mathematical analysis | Liquid-vapor interfaces | Constants | Surface tension | Mathematical models | Droplets | Physics - Chemical Physics | Engineering Sciences | Chemical Sciences | Physics

Journal Article

International Journal of Mathematics, ISSN 0129-167X, 08/2012, Volume 23, Issue 8, pp. 1250084 - 1250014

In this paper, we prove a structure theorem for projectively flat Finsler metrics of negative constant flag curvature...

Finsler metric | Projectively flat | Constant flag curvature | MATHEMATICS | constant flag curvature | RANDERS METRICS | projectively flat | Construction | Theorems | Flags | Mathematical analysis | Curvature

Finsler metric | Projectively flat | Constant flag curvature | MATHEMATICS | constant flag curvature | RANDERS METRICS | projectively flat | Construction | Theorems | Flags | Mathematical analysis | Curvature

Journal Article

Biochimica et biophysica acta. Biomembranes, ISSN 0005-2736, 2010, Volume 1798, Issue 5, pp. 938 - 946

Phospholipids are key components of biological membranes and their lipolysis with phospholipase A2 (PLA2) enzymes occurs in different cellular pH environments....

MD-simulation | Phospholipid | Spontaneous curvature | Phospholipase A2 | Lateral pressure profile | Phospholipase A | ELECTROSTATIC INTERACTIONS | FUSION | BIOCHEMISTRY & MOLECULAR BIOLOGY | PHOSPHOLIPASE A ENZYMES | LIPID-BILAYERS | LDL PARTICLES | BIOPHYSICS | LATERAL PRESSURE PROFILES | CONSTANT-PRESSURE | PHOSPHATIDIC-ACID | MOLECULAR-DYNAMICS SIMULATIONS | PROTEIN FUNCTION | Hydrogen-ion concentration | Lipids | Phospholipases

MD-simulation | Phospholipid | Spontaneous curvature | Phospholipase A2 | Lateral pressure profile | Phospholipase A | ELECTROSTATIC INTERACTIONS | FUSION | BIOCHEMISTRY & MOLECULAR BIOLOGY | PHOSPHOLIPASE A ENZYMES | LIPID-BILAYERS | LDL PARTICLES | BIOPHYSICS | LATERAL PRESSURE PROFILES | CONSTANT-PRESSURE | PHOSPHATIDIC-ACID | MOLECULAR-DYNAMICS SIMULATIONS | PROTEIN FUNCTION | Hydrogen-ion concentration | Lipids | Phospholipases

Journal Article

Nature materials, ISSN 1476-4660, 2016, Volume 15, Issue 5, pp. 583 - 588

... optimization algorithms can be used to determine spatially modulated patterns that yield approximations to given surfaces of constant or varying curvature...

CHEMISTRY, PHYSICAL | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | MATERIALS SCIENCE, MULTIDISCIPLINARY | GEOMETRY | Constraints | Algorithms | Mathematical analysis | Flats | Programming | Constants | Curvature | Sheets

CHEMISTRY, PHYSICAL | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | MATERIALS SCIENCE, MULTIDISCIPLINARY | GEOMETRY | Constraints | Algorithms | Mathematical analysis | Flats | Programming | Constants | Curvature | Sheets

Journal Article

12.
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A Statistical Cohomogeneity One Metric on the Upper Plane with Constant Negative Curvature

Advances in mathematical physics, ISSN 1687-9120, 12/2014, Volume 2014, pp. 1 - 6

.... We prove that S is a simply connected manifold with constant negative curvature K=-2. However, it is not isometric to the hyperbolic space because S is...

PHYSICS, MATHEMATICAL | Manifolds | Divergence | Planes | Mathematical analysis | Constants | Fields (mathematics) | Curvature

PHYSICS, MATHEMATICAL | Manifolds | Divergence | Planes | Mathematical analysis | Constants | Fields (mathematics) | Curvature

Journal Article

13.
Full Text
A CHARACTERIZATION OF GROMOV HYPERBOLICITY OF SURFACES WITH VARIABLE NEGATIVE CURVATURE

Publicacions Matemàtiques, ISSN 0214-1493, 1/2009, Volume 53, Issue 1, pp. 83 - 110

In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature K ≤ -K²...

Riemann surfaces | Geodesy | Mathematical constants | Coordinate systems | Mathematical inequalities | Mathematical surfaces | Curvature | Closed curves | Vertices | Gromov hyperbolicity | Negatively curved Riemannian surface | Riemannian surface | negatively curved Riemannian surface | INEQUALITIES | SPACES | METRICS | RIEMANN SURFACES | DECOMPOSITION | MATHEMATICS | HARMONIC-FUNCTIONS | MANIFOLDS | ROUGH ISOMETRIES | INFINITE TYPE | DOMAINS | 53C23 | 53C22 | 53C21 | 53C15

Riemann surfaces | Geodesy | Mathematical constants | Coordinate systems | Mathematical inequalities | Mathematical surfaces | Curvature | Closed curves | Vertices | Gromov hyperbolicity | Negatively curved Riemannian surface | Riemannian surface | negatively curved Riemannian surface | INEQUALITIES | SPACES | METRICS | RIEMANN SURFACES | DECOMPOSITION | MATHEMATICS | HARMONIC-FUNCTIONS | MANIFOLDS | ROUGH ISOMETRIES | INFINITE TYPE | DOMAINS | 53C23 | 53C22 | 53C21 | 53C15

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 2005, Volume 224, Issue 1, pp. 230 - 241

This article is devoted to show that complete non-compact Riemannian manifolds with non-negative Ricci curvature of dimension greater than or equal to two in which some...

Open manifolds | Non-negative Ricci curvature | Gagliardo–Nirenberg inequalities | Gagliardo-Nirenberg inequalities | non-negative Ricci curvature | TOPOLOGY | MATHEMATICS | LARGE-VOLUME GROWTH | open manifolds | SHARP CONSTANTS | SOBOLEV

Open manifolds | Non-negative Ricci curvature | Gagliardo–Nirenberg inequalities | Gagliardo-Nirenberg inequalities | non-negative Ricci curvature | TOPOLOGY | MATHEMATICS | LARGE-VOLUME GROWTH | open manifolds | SHARP CONSTANTS | SOBOLEV

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 12/2015, Volume 92, Issue 12

In this work we investigate the entropic information measure in the context of braneworlds with nonconstant curvature...

COSMOLOGICAL CONSTANT | ASTRONOMY & ASTROPHYSICS | KINKS | ENTROPIC MEASURE | SUPERNOVAE | GRAVITY | PHYSICS, PARTICLES & FIELDS | Cosmological constant | Gravitation | Mathematical analysis | Cosmology | Scalars | Curvature | Standards | Branes

COSMOLOGICAL CONSTANT | ASTRONOMY & ASTROPHYSICS | KINKS | ENTROPIC MEASURE | SUPERNOVAE | GRAVITY | PHYSICS, PARTICLES & FIELDS | Cosmological constant | Gravitation | Mathematical analysis | Cosmology | Scalars | Curvature | Standards | Branes

Journal Article

Advances in Mathematics, ISSN 0001-8708, 02/2017, Volume 307, pp. 1070 - 1107

.... We focus on the case of non-positive and negative combinatorial curvature. As geometric results we obtain a Hadamard...

Graph Laplacians | Buildings | Cheeger constant | Combinatorial curvature | Dirichlet problem at infinity | Compactly supported eigenfunctions | Gromov hyperbolicity | CELL COMPLEXES | SPACES | RICCI CURVATURE | GRAPHS | CONJECTURE | MATHEMATICS | NONPOSITIVE CURVATURE | ROUGH ISOMETRIES | HYPERBOLIC BUILDINGS | RIEMANNIAN-MANIFOLDS

Graph Laplacians | Buildings | Cheeger constant | Combinatorial curvature | Dirichlet problem at infinity | Compactly supported eigenfunctions | Gromov hyperbolicity | CELL COMPLEXES | SPACES | RICCI CURVATURE | GRAPHS | CONJECTURE | MATHEMATICS | NONPOSITIVE CURVATURE | ROUGH ISOMETRIES | HYPERBOLIC BUILDINGS | RIEMANNIAN-MANIFOLDS

Journal Article

Annals of global analysis and geometry, ISSN 1572-9060, 2019, Volume 56, Issue 1, pp. 57 - 86

In this paper, we prove that stable, compact without boundary, oriented, nonzero constant mean curvature surfaces in the de Sitter...

Geometry | 53C42 | 53A10 | Stability | Mathematical Physics | Constant mean curvature | Analysis | Global Analysis and Analysis on Manifolds | Warped product manifolds | Mathematics | Differential Geometry | 49Q10 | MATHEMATICS | Lower bounds | Euclidean geometry | Submerging | Euclidean space | Fields (mathematics) | Surface stability | Dimensional stability | Manifolds (mathematics) | Curvature | Mathematics - Differential Geometry

Geometry | 53C42 | 53A10 | Stability | Mathematical Physics | Constant mean curvature | Analysis | Global Analysis and Analysis on Manifolds | Warped product manifolds | Mathematics | Differential Geometry | 49Q10 | MATHEMATICS | Lower bounds | Euclidean geometry | Submerging | Euclidean space | Fields (mathematics) | Surface stability | Dimensional stability | Manifolds (mathematics) | Curvature | Mathematics - Differential Geometry

Journal Article

Advances in Mathematics, ISSN 0001-8708, 09/2018, Volume 335, pp. 809 - 837

Given a closed flat 3-torus N, for each H>0 and each non-negative integer g, we obtain area estimates for closed surfaces with genus g and constant mean curvature H embedded in N...

Curvature estimates | Area estimates | H-lamination | Minimal surface | Injectivity radius | Constant mean curvature | EXISTENCE | MINIMAL-SURFACES | H-SURFACES | GENUS | UNIQUENESS | EMBEDDED SURFACES | MATHEMATICS

Curvature estimates | Area estimates | H-lamination | Minimal surface | Injectivity radius | Constant mean curvature | EXISTENCE | MINIMAL-SURFACES | H-SURFACES | GENUS | UNIQUENESS | EMBEDDED SURFACES | MATHEMATICS

Journal Article

Advances in Mathematics, ISSN 0001-8708, 12/2017, Volume 322, pp. 861 - 891

.... In particular, there is a generalization of Tachibana's theorem for non-negative curvature operator...

Bochner formula | Harmonic Weyl curvature | Tachibana's theorem | YAMABE PROBLEM | CONSTANTS | NONNEGATIVE ISOTROPIC CURVATURE | METRICS | SCALAR CURVATURE | DEFORMATION | EINSTEIN MANIFOLDS | RICCI SOLITONS | MATHEMATICS | SPACE-FORMS | RIEMANNIAN-MANIFOLDS | Mathematics - Differential Geometry

Bochner formula | Harmonic Weyl curvature | Tachibana's theorem | YAMABE PROBLEM | CONSTANTS | NONNEGATIVE ISOTROPIC CURVATURE | METRICS | SCALAR CURVATURE | DEFORMATION | EINSTEIN MANIFOLDS | RICCI SOLITONS | MATHEMATICS | SPACE-FORMS | RIEMANNIAN-MANIFOLDS | Mathematics - Differential Geometry

Journal Article

The European physical journal. C, Particles and fields, ISSN 1434-6052, 2019, Volume 79, Issue 3, pp. 1 - 34

Considering de Rham–Gabadadze–Tolley theory of massive gravity coupled with (ghost free) higher curvature terms arisen from the Lovelock Lagrangian, we obtain charged-AdS black hole solutions in diverse dimensions...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | SYMMETRICAL-SOLUTIONS | TENSOR | ENERGY | TERMS | HIGHER-DERIVATIVE GRAVITY | EQUATIONS | TRANSITIONS | DE-SITTER SPACETIMES | SUPERNOVAE | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Advertising executives | Laws, regulations and rules | Analysis | Gravitation | Black holes | Vapor phases | Stability analysis | Phase transitions | Thermal stability | Couplings | Cosmological constant | Energy conservation law | Event horizon | Curvature | Solid phases

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | SYMMETRICAL-SOLUTIONS | TENSOR | ENERGY | TERMS | HIGHER-DERIVATIVE GRAVITY | EQUATIONS | TRANSITIONS | DE-SITTER SPACETIMES | SUPERNOVAE | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Advertising executives | Laws, regulations and rules | Analysis | Gravitation | Black holes | Vapor phases | Stability analysis | Phase transitions | Thermal stability | Couplings | Cosmological constant | Energy conservation law | Event horizon | Curvature | Solid phases

Journal Article