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## Search Articles

Manuscripta mathematica, ISSN 0025-2611, 03/2016, Volume 149, Issue 3-4, pp. 507 - 521

Journal Article

The Michigan mathematical journal, ISSN 0026-2285, 12/2014, Volume 63, Issue 4, pp. 675 - 685

Journal Article

Journal Article

Mathematische annalen, ISSN 0025-5831, 12/2016, Volume 369, Issue 3-4, pp. 1599 - 1621

We prove a phenomenon of concentration of total curvature for stable minimal surfaces in the product space
$$\mathbb H^2 \times \mathbb R,$$
H
2
×
R
,
where...

53C42 | 53A10 | Mathematics, general | Mathematics | 49Q05

53C42 | 53A10 | Mathematics, general | Mathematics | 49Q05

Journal Article

The Bulletin of the London Mathematical Society, ISSN 0024-6093, 08/2019, Volume 51, Issue 4, pp. 639 - 644

We prove that there are no minimal hypersurfaces properly immersed in any region of the Euclidean space bounded by unstable minimal cones. We also prove the...

53C42 (primary) | 58J05 | 35B50 (secondary) | Physical Sciences | Mathematics | Science & Technology

53C42 (primary) | 58J05 | 35B50 (secondary) | Physical Sciences | Mathematics | Science & Technology

Journal Article

Calculus of variations and partial differential equations, ISSN 0944-2669, 04/2018, Volume 57, Issue 2, pp. 1 - 21

In this paper, we introduce a special class of hypersurfaces which are called λ-hypersurfaces related to a weighted volume preserving mean curvature flow in...

53C42 | 53C44 | Geometry | Euclidean geometry | Euclidean space | Mathematical analysis | Curvature

53C42 | 53C44 | Geometry | Euclidean geometry | Euclidean space | Mathematical analysis | Curvature

Journal Article

The Michigan mathematical journal, ISSN 0026-2285, 12/2014, Volume 63, Issue 4, pp. 701 - 723

Journal Article

General relativity and gravitation, ISSN 1572-9532, 01/2019, Volume 51, Issue 1, pp. 1 - 66

In this work we study spacelike hypersurfaces immersed in spatially open standard static spacetimes with complete spacelike slices. Under appropriate lower...

53C42 | Calabi–Bernstein type result | 53C50 | Theoretical, Mathematical and Computational Physics | Geometric estimates | 58J05 | Quantum Physics | Physics | Astronomy, Astrophysics and Cosmology | Standard static spacetime | Complete spacelike hypersurface | Differential Geometry | Classical and Quantum Gravitation, Relativity Theory | Physics, Multidisciplinary | Physical Sciences | Astronomy & Astrophysics | Physics, Particles & Fields | Science & Technology | Lower bounds | Hyperspaces | Curvature | Spacetime | Mathematics - Differential Geometry

53C42 | Calabi–Bernstein type result | 53C50 | Theoretical, Mathematical and Computational Physics | Geometric estimates | 58J05 | Quantum Physics | Physics | Astronomy, Astrophysics and Cosmology | Standard static spacetime | Complete spacelike hypersurface | Differential Geometry | Classical and Quantum Gravitation, Relativity Theory | Physics, Multidisciplinary | Physical Sciences | Astronomy & Astrophysics | Physics, Particles & Fields | Science & Technology | Lower bounds | Hyperspaces | Curvature | Spacetime | Mathematics - Differential Geometry

Journal Article

Geometriae dedicata, ISSN 1572-9168, 09/2018, Volume 201, Issue 1, pp. 203 - 225

We study singularities of constant positive Gaussian curvature surfaces and determine the way they bifurcate in generic 1-parameter families of such surfaces....

Discriminants | Spherical surfaces | Loop groups | Singularities | 53C43 | Bifurcations | Parallels | Mathematics | Topology | Primary 53A05 | Cauchy problem | Wave fronts | 57R45 | Constant Gauss curvature | Convex and Discrete Geometry | Secondary 53C42 | Algebraic Geometry | Hyperbolic Geometry | Projective Geometry | Integrable systems | Differential Geometry | Differential geometry | Physical Sciences | Science & Technology | Computer science | Maps | Spherical harmonics | Curvature

Discriminants | Spherical surfaces | Loop groups | Singularities | 53C43 | Bifurcations | Parallels | Mathematics | Topology | Primary 53A05 | Cauchy problem | Wave fronts | 57R45 | Constant Gauss curvature | Convex and Discrete Geometry | Secondary 53C42 | Algebraic Geometry | Hyperbolic Geometry | Projective Geometry | Integrable systems | Differential Geometry | Differential geometry | Physical Sciences | Science & Technology | Computer science | Maps | Spherical harmonics | Curvature

Journal Article

Journal Article

Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 8/2017, Volume 196, Issue 4, pp. 1345 - 1364

A Killing submersion is a Riemannian submersion from a 3-manifold to a surface, both connected and orientable, whose fibers are the integral curves of a...

Constant mean curvature surfaces | Bernstein problem | Primary 53C42 | 53C30 | Secondary 53C15 | Stability | Minimal surfaces | Killing submersions | Mathematics, general | Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology | Bundling | Killing | Curvature | Differential geometry | Mathematics - Differential Geometry

Constant mean curvature surfaces | Bernstein problem | Primary 53C42 | 53C30 | Secondary 53C15 | Stability | Minimal surfaces | Killing submersions | Mathematics, general | Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology | Bundling | Killing | Curvature | Differential geometry | Mathematics - Differential Geometry

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 2/2015, Volume 279, Issue 1, pp. 557 - 576

We obtain an exhaustive classification of totally umbilical surfaces in unimodular and non-unimodular simply-connected 3-dimensional Lie groups endowed with...

Primary 53C42 | Mathematics, general | Secondary 53C30 | Mathematics | Physical Sciences | Science & Technology | Mathematics - Differential Geometry

Primary 53C42 | Mathematics, general | Secondary 53C30 | Mathematics | Physical Sciences | Science & Technology | Mathematics - Differential Geometry

Journal Article

Mathematische annalen, ISSN 0025-5831, 2015, Volume 361, Issue 3-4, pp. 725 - 740

In this article we investigate length decreasing maps between Riemannian manifolds , of dimensions and , respectively. Assuming that is compact and is complete...

53C42 | 57R52 | 53C44 | 35K55 | Physical Sciences | Mathematics | Science & Technology

53C42 | 57R52 | 53C44 | 35K55 | Physical Sciences | Mathematics | Science & Technology

Journal Article

Annals of global analysis and geometry, ISSN 1572-9060, 03/2019, 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–Schwarzschild and...

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

Journal Article

Mathematische annalen, ISSN 1432-1807, 03/2019, Volume 374, Issue 3-4, pp. 1261 - 1309

This paper concerns the global theory of properly embedded spacelike surfaces in three-dimensional Minkowski space in relation to their Gaussian curvature. We...

Primary 53C42 | Mathematics, general | 53B30 | Mathematics | 53C50 | Secondary 35J96 | Physical Sciences | Science & Technology | Astronomy | Minkowski space | Curvature | Differential geometry

Primary 53C42 | Mathematics, general | 53B30 | Mathematics | 53C50 | Secondary 35J96 | Physical Sciences | Science & Technology | Astronomy | Minkowski space | Curvature | Differential geometry

Journal Article

Calculus of variations and partial differential equations, ISSN 1432-0835, 07/2015, Volume 54, Issue 3, pp. 2853 - 2882

In the present article we obtain classification results and topological obstructions for the existence of translating solitons of the mean curvature flow in...

53C42 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 53C44 | 53C21 | Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology

53C42 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 53C44 | 53C21 | Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology

Journal Article

The Journal of geometric analysis, ISSN 1050-6926, 1/2018, Volume 28, Issue 1, pp. 643 - 655

In this paper, we establish a general inequality for locally strongly convex centroaffine hypersurfaces in
$$\mathbb {R}^{n+1}$$
R
n
+
1
involving the norm of...

53C42 | Difference tensor | Tchebychev vector field | Mathematics | Locally strongly convex | Primary 53A15 | Parallel cubic form | Abstract Harmonic Analysis | Fourier Analysis | Secondary 53C24 | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Centroaffine hypersurface | Physical Sciences | Science & Technology | Equality | Inequality | Mathematics - Differential Geometry

53C42 | Difference tensor | Tchebychev vector field | Mathematics | Locally strongly convex | Primary 53A15 | Parallel cubic form | Abstract Harmonic Analysis | Fourier Analysis | Secondary 53C24 | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Centroaffine hypersurface | Physical Sciences | Science & Technology | Equality | Inequality | Mathematics - Differential Geometry

Journal Article

Mathematische annalen, ISSN 0025-5831, 8/2016, Volume 365, Issue 3, pp. 1069 - 1089

In this paper we prove two theorems. The first one is a structure result that describes the extrinsic geometry of an embedded surface with constant mean...

53C42 | 53A10 | Mathematics, general | Mathematics | 49Q05 | Physical Sciences | Science & Technology

53C42 | 53A10 | Mathematics, general | Mathematics | 49Q05 | Physical Sciences | Science & Technology

Journal Article

Geometriae dedicata, ISSN 0046-5755, 8/2014, Volume 171, Issue 1, pp. 407 - 412

In the paper referred to in the title, we proved that any immersed flat tori in
$$S^3$$
S
3
whose mean curvature does not change sign has extrinsic diameter...

Geometry | 53C75 | Primary 53C42 | Mathematics | Secondary 53C40

Geometry | 53C75 | Primary 53C42 | Mathematics | Secondary 53C40

Journal Article

Calculus of variations and partial differential equations, ISSN 0944-2669, 06/2017, Volume 56, Issue 3, pp. 1 - 22

In this paper we consider the compactness of beta-symplectic critical surfaces in a Kahler surface. Let M be a compact Kahler surface and Sigma(i) subset of M...

53C42 (primary) | 58J05 (secondary) | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Deformation

53C42 (primary) | 58J05 (secondary) | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Deformation

Journal Article

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