X
Search Filters
Format Format
Subjects Subjects
Subjects Subjects
X
Sort by Item Count (A-Z)
Filter by Count
mathematics (570) 570
curvature (233) 233
analysis (200) 200
physics (198) 198
constants (196) 196
mathematics, applied (195) 195
cosmological constant (175) 175
mathematical analysis (171) 171
geometry (170) 170
physics, particles & fields (164) 164
general relativity and quantum cosmology (146) 146
differential geometry (138) 138
mathematical constants (127) 127
astronomy & astrophysics (125) 125
physics, multidisciplinary (123) 123
mathematics, general (106) 106
mathematical models (105) 105
hypersurfaces (104) 104
astrophysics (98) 98
constant mean-curvature (92) 92
high energy physics - theory (88) 88
constant principal curvatures (83) 83
materials science, multidisciplinary (78) 78
quantum physics (77) 77
theoretical, mathematical and computational physics (76) 76
constant (75) 75
manifolds (73) 73
cosmology (69) 69
mathematics - differential geometry (69) 69
mechanics (69) 69
constant mean curvature (68) 68
cosmology and extragalactic astrophysics (67) 67
mathematical theorems (63) 63
surfaces (62) 62
53c42 (61) 61
dark energy (61) 61
universe (60) 60
elementary particles, quantum field theory (59) 59
chemistry, physical (57) 57
physics, mathematical (57) 57
classical and quantum gravitation, relativity theory (56) 56
studies (56) 56
gravity (55) 55
stability (54) 54
equations (53) 53
constant scalar curvature (51) 51
quantum field theories, string theory (50) 50
symmetry (50) 50
riemannian-manifolds (48) 48
classification (47) 47
thermodynamics (46) 46
astrophysics - cosmology and nongalactic astrophysics (45) 45
gravitation (45) 45
anisotropy (44) 44
astronomy, astrophysics and cosmology (44) 44
algebra (42) 42
hyperbolic space (42) 42
elastic constants (41) 41
chemistry (40) 40
engineering (40) 40
physics, applied (40) 40
mathematical and computational physics (39) 39
supernovae (39) 39
tensors (39) 39
riemann manifold (38) 38
chemistry, multidisciplinary (36) 36
real hypersurfaces (36) 36
constant curvature (35) 35
constraints (35) 35
multidisciplinary sciences (35) 35
projective-space (35) 35
dynamical systems and ergodic theory (34) 34
group theory and generalizations (34) 34
physics - general relativity and quantum cosmology (34) 34
scalars (34) 34
space (34) 34
convex and discrete geometry (33) 33
index medicus (33) 33
kinetics (33) 33
physics - cosmology and nongalactic astrophysics (33) 33
algorithms (32) 32
deformation (32) 32
eigenvalues (32) 32
research (32) 32
scalar curvature (32) 32
dynamics (31) 31
statistics for business/economics/mathematical finance/insurance (31) 31
behavior (29) 29
computer simulation (29) 29
elastic-constants (29) 29
evolution (29) 29
fourier analysis (29) 29
global analysis and analysis on manifolds (29) 29
mathematical functions (29) 29
physics, atomic, molecular & chemical (29) 29
rigidity (29) 29
existence (28) 28
general-relativity (28) 28
rate constants (28) 28
spheres (28) 28
more...
Language Language
Publication Date Publication Date
Click on a bar to filter by decade
Slide to change publication date range


Proceedings of the American Mathematical Society, ISSN 0002-9939, 12/2019, Volume 147, Issue 12, pp. 5417 - 5420
.... This answers negatively the question: Is every hypersurface with constant principal curvatures isoparametric? 
MATHEMATICS | MATHEMATICS, APPLIED | Isoparametric hypersurface | constant principal curvatures
Journal Article
by Yu Fu
Taiwanese Journal of Mathematics, ISSN 1027-5487, 4/2015, Volume 19, Issue 2, pp. 519 - 533
The goal of this paper is to prove null 2-type hypersurfaces with at most three distinct principal curvatures in a Euclidean space have constant mean curvature. 2010... 
Tangents | Hypersurfaces | Mathematical constants | Euclidean space | Mathematical vectors | Curvature | Cylinders | Null 2-type submanifolds | Mean curvature vector | 3 Distinct principal curvatures | MATHEMATICS
Journal Article
Kyushu journal of mathematics, ISSN 1340-6116, 2016, Volume 70, Issue 2, pp. 217 - 226
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 12/2012, Volume 140, Issue 12, pp. 4323 - 4335
... → R whose gradient decays uniformly faster than 1/r. The divergence theorem then yields a pair of integral equations for the normal curvatures of these graphs, which establish some weaker forms of the conjecture... 
Circles | Hypersurfaces | Mathematical constants | Mathematical functions | Mathematical surfaces | Divergence theorem | Curvature | Spherical coordinates | Polar coordinate graphs | Parallel surface | Principal line | Loewner conjecture | Carathéodory conjecture | Möbius inversion | Umbilical point | MATHEMATICS, APPLIED | parallel surface | PROOF | UMBILIC POINTS | Mobius inversion | MATHEMATICS | SUPPOSITION | divergence theorem | HYPERSURFACES | SURFACE | Caratheodory conjecture | principal line | LOEWNER | INDEX
Journal Article
Collectanea Mathematica, ISSN 0010-0757, 9/2016, Volume 67, Issue 3, pp. 379 - 397
Our purpose in this paper is to study the geometry of complete linear Weingarten spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space... 
53C20 | Primary 53C42 | 53C50 | Locally symmetric Lorentz spaces | Complete linear Weingarten spacelike hypersurfaces | Mathematics | Geometry | Algebra | Einstein spacetimes | Analysis | Secondary 53A10 | Applications of Mathematics | Isoparametric hypersurfaces | MATHEMATICS | CONSTANT MEAN-CURVATURE | MATHEMATICS, APPLIED | DE-SITTER SPACE | MAXIMAL SPACE | MANIFOLDS | GEOMETRY
Journal Article
Annals of Global Analysis and Geometry, ISSN 0232-704X, 12/2014, Volume 46, Issue 4, pp. 351 - 359
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 6/2018, Volume 197, Issue 3, pp. 703 - 720
In this paper, I study the isoparametric hypersurfaces in a Randers sphere $$(S^n,F)$$ (Sn,F) of constant flag curvature, with the navigation datum... 
53C42 | Navigation | Randers sphere of constant flag curvature | Mathematics, general | Mathematics | Isoparametric function | Isoparametric hypersurface | 53C60 | Homogeneous hypersurface | 22E46 | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | FAMILIES | 4 PRINCIPAL CURVATURES | RIEMANNIAN-MANIFOLDS
Journal Article
Differential Geometry and its Applications, ISSN 0926-2245, 2011, Volume 29, Issue 1, pp. S65 - S70
We present the motivation and current state of the classification problem of real hypersurfaces with constant principal curvatures in complex space forms... 
Homogeneous hypersurfaces | Hopf hypersurfaces | Constant principal curvatures | Secondary | Primary | MATHEMATICS | MATHEMATICS, APPLIED | PROJECTIVE-SPACE | SPHERES | ISOPARAMETRIC HYPERSURFACES | COHOMOGENEITY ONE ACTIONS | HYPERBOLIC SPACES
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 2010, Volume 60, Issue 1, pp. 43 - 52
We investigate complete spacelike hypersurfaces in Lorentz–Minkowski space with two distinct principal curvatures and constant m th mean curvature. By using... 
Spacelike hypersurface | Principal curvature | Mean curvature | Lorentz–Minkowski space | Lorentz-Minkowski space | MATHEMATICS, APPLIED | CONSTANT SCALAR CURVATURE | SITTER SPACE | PHYSICS, MATHEMATICAL
Journal Article
Indiana University Mathematics Journal, ISSN 0022-2518, 1/2011, Volume 60, Issue 3, pp. 859 - 882
We classify real hypersurfaces in complex space forms with constant principal curvatures and whose Hopf vector field has two nontrivial projections onto the principal curvature spaces... 
Tangents | Mathematical theorems | Algebra | Hypersurfaces | Vector fields | Mathematical constants | Curvature | Unit vectors | Projection of vectors | Homogeneous hypersurfaces | Constant principal curvatures | Hopf hypersurfaces | homogeneous hypersurfaces | MATHEMATICS | PROJECTIVE-SPACE | SPHERES | ISOPARAMETRIC HYPERSURFACES | COHOMOGENEITY ONE ACTIONS | constant principal curvatures | HYPERBOLIC SPACES
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/2007, Volume 135, Issue 10, pp. 3349 - 3358
Journal Article
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, ISSN 0138-4821, 10/2015, Volume 56, Issue 2, pp. 641 - 653
We study surfaces with one constant principal curvature in Riemannian and Lorentzian three-dimensional space forms... 
Geometry | 53C42 | Algebra | Convex and Discrete Geometry | Algebraic Geometry | Constant principal curvature | Mathematics | Pseudo-Riemannian space forms
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 6/2018, Volume 15, Issue 3, pp. 1 - 12
We establish an inequality among the Ricci curvature, the squared mean curvature, and the normal curvature for real hypersurfaces in complex space forms... 
Primary 53C42 | normal curvature | Secondary 53B25 | Real hypersurfaces | Ricci curvature | Mathematics, general | Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | CONSTANT PRINCIPAL CURVATURES
Journal Article
Differential Geometry and its Applications, ISSN 0926-2245, 2011, Volume 29, Issue 3, pp. 279 - 291
We investigate complete spacelike hypersurfaces in a de Sitter space with two distinct principal curvatures and constant m-th mean curvature. By using... 
Spacelike hypersurface | Principal curvature | Lorentzian space form | Mean curvature | MATHEMATICS | CONSTANT MEAN-CURVATURE | MATHEMATICS, APPLIED | Space like hypersurface | Mathematical analysis | Curvature | Differential geometry | Classification | Images | Cylinders
Journal Article
Advances in Mathematics, ISSN 0001-8708, 01/2017, Volume 304, pp. 434 - 493
...)-dimensional Minkowski space, provided D is contained in the future cone over a point. Namely, it is possible to find a smooth convex Cauchy surface with prescribed curvature function on the image of the Gauss map... 
Minkowski space | Constant curvature surfaces | Monge–Ampère equation | Universal Teichmüller theory | MATHEMATICS | Monge-Ampere equation | HYPERSURFACES | GAUSS CURVATURE | Universal Teichmuller theory | Mathematics
Journal Article
Geometriae Dedicata, ISSN 0046-5755, 2/2012, Volume 156, Issue 1, pp. 31 - 47
... (or, equivalently, the infimum of the squared norm of the second fundamental form) of a constant mean curvature hypersurface with two principal curvatures immersed into a Riemannian space form of constant curvature... 
Geometry | Omori-Yau maximum principle | 53C42 | Scalar curvature | 53C40 | Constant mean curvature | Second fundamental form | Ricci curvature | Mathematics | MATHEMATICS | 2 PRINCIPAL CURVATURES | THEOREM | SPHERE | RIGIDITY | RIEMANNIAN MANIFOLDS | MINIMAL HYPERSURFACES
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 04/2020, Volume 293, Issue 4, pp. 735 - 753
We classify all rotational surfaces in Euclidean space whose principal curvatures κ1... 
53C42 | phase plane | 53A10 | rotational surface | principal curvature | Weingarten surface | MATHEMATICS | CONSTANT MEAN-CURVATURE | WEINGARTEN SURFACES
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 10/2014, Volume 24, Issue 4, pp. 1882 - 1890
Let M⊂S 4 be a complete orientable hypersurface with constant scalar curvature. For any v∈R 5, let us define the two real functions... 
Abstract Harmonic Analysis | Constant scalar curvature | 53C42 | Principal curvature | 53A10 | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Mathematics | Sectional curvature | Differential Geometry | Dynamical Systems and Ergodic Theory | MATHEMATICS
Journal Article
Science China Mathematics, ISSN 1674-7283, 07/2017, Volume 60, Issue 7, pp. 1281 - 1310
The Blaschke tensor and the Mobius form are two of the fundamental invariants in the Mobius geometry of submanifolds; an umbilic-free immersed submanifold in... 
parallel mean curvature vector | parallel Blaschke tensor | constant scalar curvature | vanishing Möbius form | MATHEMATICS, APPLIED | DISTINCT PRINCIPAL CURVATURES | vanishing Mobius form | SM+1 | ISOPARAMETRIC HYPERSURFACES | SCALAR CURVATURE | IMMERSED HYPERSURFACES | UNIT-SPHERE | MATHEMATICS | S-N | MEAN-CURVATURE | GEOMETRY
Journal Article
No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.