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2016, Second edition., Graduate studies in mathematics, ISBN 1470409860, Volume 175., xviii, 453 pages

Book

2017, Graduate studies in mathematics, ISBN 9781470429522, Volume 178, xvi, 414 pages

Lorentz metrics, indefinite metrics | Classical differential geometry | Vector analysis | Differential geometry | Global analysis, analysis on manifolds | Local differential geometry | Surfaces in Euclidean space | Differential forms | Noncompact transformation groups | Exterior differential systems (Cartan theory) | Projective differential geometry | Frames (Vector analysis) | Homogeneous spaces | Geometry, Differential | Topological groups, Lie groups | Affine differential geometry | Local submanifolds | General theory of differentiable manifolds | Mathematical physics | Exterior differential systems | Differential invariants (local theory), geometric objects | Curves in Euclidean space

Book

2013, Atlantis series in dynamical systems, ISBN 9462390037, Volume 2, xii, 189

This book covers normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, and offers a proof of persistence for noncompact normally hyperbolic...

Hyperbolic spaces | Invariant manifolds | Geometry, Differential

Hyperbolic spaces | Invariant manifolds | Geometry, Differential

Book

1993, ISBN 3540562354, vi, 434

Book

Journal of mathematical physics, ISSN 0022-2488, 06/2010, Volume 51, Issue 6, pp. 062303 - 062303-12

The geometric approach to study the dynamics of U(1)-invariant membranes is developed...

Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Physics - High Energy Physics - Theory | DIFFERENTIAL EQUATIONS | U-1 GROUPS | TENSORS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | U GROUPS | M-THEORY | SYMMETRY GROUPS | EXACT SOLUTIONS | MINKOWSKI SPACE | EQUATIONS | MATHEMATICS | SPACE | MATHEMATICAL SOLUTIONS | MATHEMATICAL SPACE | SYMMETRY | NONLINEAR PROBLEMS | SPACE-TIME | LIE GROUPS | TIME DEPENDENCE | VECTORS | MATHEMATICAL METHODS AND COMPUTING | GEOMETRY | UNITARY SYMMETRY

Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Physics - High Energy Physics - Theory | DIFFERENTIAL EQUATIONS | U-1 GROUPS | TENSORS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | U GROUPS | M-THEORY | SYMMETRY GROUPS | EXACT SOLUTIONS | MINKOWSKI SPACE | EQUATIONS | MATHEMATICS | SPACE | MATHEMATICAL SOLUTIONS | MATHEMATICAL SPACE | SYMMETRY | NONLINEAR PROBLEMS | SPACE-TIME | LIE GROUPS | TIME DEPENDENCE | VECTORS | MATHEMATICAL METHODS AND COMPUTING | GEOMETRY | UNITARY SYMMETRY

Journal Article

Journal of fluid mechanics, ISSN 0022-1120, 08/2017, Volume 825, pp. 412 - 478

Cauchy invariants are now viewed as a powerful tool for investigating the Lagrangian structure of three-dimensional (3D) ideal flow (Frisch...

Papers | variational methods | mathematical foundations | general fluid mechanics | Mechanics | Physical Sciences | Physics, Fluids & Plasmas | Technology | Physics | Science & Technology | Fluid mechanics | Magnetohydrodynamics | Euclidean geometry | Computational fluid dynamics | Differential geometry | Fluid flow | Decomposition | Euler-Lagrange equation | Invariants | Equations | Helicity | Flow | Geometry | Incompressible flow | Advection | Fluids | Three dimensional flow | Mathematical analysis | Biot-Savart law | Vorticity | Mathematical models | Transport theory | Formulas (mathematics)

Papers | variational methods | mathematical foundations | general fluid mechanics | Mechanics | Physical Sciences | Physics, Fluids & Plasmas | Technology | Physics | Science & Technology | Fluid mechanics | Magnetohydrodynamics | Euclidean geometry | Computational fluid dynamics | Differential geometry | Fluid flow | Decomposition | Euler-Lagrange equation | Invariants | Equations | Helicity | Flow | Geometry | Incompressible flow | Advection | Fluids | Three dimensional flow | Mathematical analysis | Biot-Savart law | Vorticity | Mathematical models | Transport theory | Formulas (mathematics)

Journal Article

Journal of Lie theory, ISSN 0949-5932, 2016, Volume 26, Issue 1, pp. 235 - 267

We refine the concept of the symmetry group of a geometric object through its symmetry groupoid, which incorporates both global and local symmetries in a common framework...

Groupoid | Submanifold | Local symmetry | Index | Weighted signature | Global symmetry | Moving frame | Coarea formula | Syzygy | Equivalence | Differential invariant | Piece | Signature | Physical Sciences | Mathematics | Science & Technology

Groupoid | Submanifold | Local symmetry | Index | Weighted signature | Global symmetry | Moving frame | Coarea formula | Syzygy | Equivalence | Differential invariant | Piece | Signature | Physical Sciences | Mathematics | Science & Technology

Journal Article

The Journal of geometric analysis, ISSN 1559-002X, 07/2018, Volume 29, Issue 2, pp. 1706 - 1743

Let
$$d\ge 3$$
d
≥
3
,
$$n\ge 2$$
n
≥
2
. The object of our study is the morphism
$$\Phi $$
Φ...

14L24 | Associated forms | Geometric Invariant Theory | Mathematics | Contravariants of homogeneous forms | Isolated hypersurface singularities | Classical invariant theory | Abstract Harmonic Analysis | 13A50 | 32S25 | Fourier Analysis | The Mather–Yau theorem | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Physical Sciences | Science & Technology | Algebra | Hyperspaces

14L24 | Associated forms | Geometric Invariant Theory | Mathematics | Contravariants of homogeneous forms | Isolated hypersurface singularities | Classical invariant theory | Abstract Harmonic Analysis | 13A50 | 32S25 | Fourier Analysis | The Mather–Yau theorem | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Physical Sciences | Science & Technology | Algebra | Hyperspaces

Journal Article

SIAM journal on applied dynamical systems, ISSN 1536-0040, 01/2009, Volume 8, Issue 3, pp. 1005 - 1042

... (the parameterization method for invariant...

Isochrons | Numerical computation of invariant objects | Lie symmetries | Parameterization method | Phase resetting curves | Biological oscillators | Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology | Ergodic theory | 34C Qualitative theory | Sistemes dinàmics | Equacions diferencials ordinàries | Differentiable dynamical systems | 37 Dynamical systems and ergodic theory | 37N Applications | 34 Ordinary differential equations | Matemàtiques i estadística | Classificació AMS | Àrees temàtiques de la UPC | Equacions diferencials i integrals

Isochrons | Numerical computation of invariant objects | Lie symmetries | Parameterization method | Phase resetting curves | Biological oscillators | Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology | Ergodic theory | 34C Qualitative theory | Sistemes dinàmics | Equacions diferencials ordinàries | Differentiable dynamical systems | 37 Dynamical systems and ergodic theory | 37N Applications | 34 Ordinary differential equations | Matemàtiques i estadística | Classificació AMS | Àrees temàtiques de la UPC | Equacions diferencials i integrals

Journal Article

2016, ISBN 3319315919, 573

This monograph provides an accessible and comprehensive introduction to James Arthur's invariant trace formula, a crucial tool in the theory of automorphic representations...

Number theory | Trace formulas

Number theory | Trace formulas

eBook

2017, ISBN 9783319452814, 366

eBook

2013, Atlantis Series in Dynamical Systems, ISBN 9462390029, Volume 2

eBook

The journal of high energy physics, ISSN 1126-6708, 12/2013, Volume 2013, Issue 12, pp. 1 - 61

We present a ten-dimensional theory, named β-supergravity, that contains non-geometric fluxes and could uplift some four-dimensional gauged supergravities...

Supergravity Models | String Duality | Flux compactifications | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Differential and algebraic geometry | Supergravity models | String duality | Physical Sciences | Physics, Particles & Fields | Science & Technology | Construction | Mathematical analysis | Scalars | Transformations | Fluxes | Equations of motion | Formalism | Supergravity

Supergravity Models | String Duality | Flux compactifications | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Differential and algebraic geometry | Supergravity models | String duality | Physical Sciences | Physics, Particles & Fields | Science & Technology | Construction | Mathematical analysis | Scalars | Transformations | Fluxes | Equations of motion | Formalism | Supergravity

Journal Article

2010, 1. Aufl., Progress in mathematics, ISBN 0817648305, Volume 279, viii, 292

.... This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program...

Geometric quantization | Mathematical physics

Geometric quantization | Mathematical physics

Book

Lobachevskii journal of mathematics, ISSN 1995-0802, 7/2015, Volume 36, Issue 3, pp. 260 - 285

We examine the relationships between the differential invariants of objects and of their images under a surjective maps...

image processing | curve | Probability Theory and Stochastic Processes | Mathematics | surjective map | affine | invariant | Geometry | centro-affine | Algebra | projective actions | Analysis | Mathematics, general | Mathematical Logic and Foundations

image processing | curve | Probability Theory and Stochastic Processes | Mathematics | surjective map | affine | invariant | Geometry | centro-affine | Algebra | projective actions | Analysis | Mathematics, general | Mathematical Logic and Foundations

Journal Article

Journal of mathematical physics, ISSN 0022-2488, 05/2016, Volume 57, Issue 5, p. 53506

...” case and in De Nittis and Gomi [Commun. Math. Phys. 339, 1–55 (2015)] for the “Quaternionic” case, from the other side it seems that a classification in terms of differential geometric invariants is still missing in the literature...

Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Bundling | Differential geometry | Invariants | Bundles | Classification | Symmetry | TOPOLOGY | SYMMETRY | QUANTUM SYSTEMS | DIFFERENTIAL GEOMETRY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Bundling | Differential geometry | Invariants | Bundles | Classification | Symmetry | TOPOLOGY | SYMMETRY | QUANTUM SYSTEMS | DIFFERENTIAL GEOMETRY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Journal Article

The journal of high energy physics, ISSN 1126-6708, 12/2009, Volume 2009, Issue 12, pp. 021 - 21

We discuss twistor-like interpretation of the Sp(8) invariant formulation of 4d massless fields in ten dimensional Lagrangian Grassmannian Sp(8...

BRST Symmetry | Global Symmetries | Space-Time Symmetries | Physical Sciences | Physics, Particles & Fields | Physics | Science & Technology

BRST Symmetry | Global Symmetries | Space-Time Symmetries | Physical Sciences | Physics, Particles & Fields | Physics | Science & Technology

Journal Article

General relativity and gravitation, ISSN 1572-9532, 08/2009, Volume 42, Issue 3, pp. 601 - 622

...Gen Relativ Gravit (2010) 42:601–622
DOI 10.1007/s10714-009-0874-y
RESEARCH ARTICLE
Gauge-invariant localization of inﬁnitely many
gravitational energies...

Conservation laws | Theoretical, Mathematical and Computational Physics | Gauge invariance | Quantum Physics | Infinite-component | Differential Geometry | Localization | Classical and Quantum Gravitation, Relativity Theory | Gravitational energy | Physics | Astronomy, Astrophysics and Cosmology | Physics, Multidisciplinary | Physical Sciences | Astronomy & Astrophysics | Physics, Particles & Fields | Science & Technology

Conservation laws | Theoretical, Mathematical and Computational Physics | Gauge invariance | Quantum Physics | Infinite-component | Differential Geometry | Localization | Classical and Quantum Gravitation, Relativity Theory | Gravitational energy | Physics | Astronomy, Astrophysics and Cosmology | Physics, Multidisciplinary | Physical Sciences | Astronomy & Astrophysics | Physics, Particles & Fields | Science & Technology

Journal Article