Cover Image

Rigidity of convex hypersurfaces, Rigidity of convex hypersurfaces in multidimensional spaces of constant curvature

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Borisenko, Alexander A.
Format:	Preprint
Published:	2024
Subjects:	Differential Geometry 52A10, 52A55, 51M10, 53C22
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Local rigidity of convex hypersurfaces in spaces of constant curvature
by: Borisenko, Alexander A.
Published: (2025)

Pál's isominwidth inequality for ball convex bodies in planes of constant curvature
by: Fodor, Ferenc, et al.
Published: (2026)

A total curvature estimate of closed hypersurfaces in non-positively curved symmetric spaces
by: Li, Jiangtao, et al.
Published: (2025)

Area and antipodal distance in convex hypersurfaces
by: Dibble, James, et al.
Published: (2026)

Infinite Ideal Polyhedra in Hyperbolic 3-Space: Existence and Rigidity
by: Ge, Huabin, et al.
Published: (2025)

Alexandrov-Fenchel inequalities for convex anisotropic capillary hypersurfaces in the half-space
by: Gao, Jinyu, et al.
Published: (2025)

Geodesic complexity of the octahedron, and an algorithm for cut loci on convex polyhedra
by: Frick, Florian, et al.
Published: (2025)

Power with Respect to Generalized Spheres and Radical Surfaces in $\mathbf{H}^n$
by: Világi, Áron, et al.
Published: (2026)

Deforming a hypersurface by Gauss curvature and support function
by: Ivaki, Mohammad N.
Published: (2015)

On the area of ordinary hyperbolic reduced polygons
by: Sagmeister, Ádám
Published: (2024)

On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons
by: Sagmeister, Ádám
Published: (2024)

Close geodesics on regular tetrahedra in hyperbolic space
by: Borisenko, A. A., et al.
Published: (2018)

Geodesic ball packings generated by rotations and monotonicity behavior of their densities in $\mathbf{H}^2\!\times\!\mathbf{R}$ space
by: Yahya, Arnasli, et al.
Published: (2023)

New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in $\mathbf{H}^2\!\times\!\mathbf{R}$ space
by: Yahya, Arnasli, et al.
Published: (2024)

Equilibria of plane convex bodies
by: Allemann, Jonas, et al.
Published: (2019)

Crofton formulas in pseudo-Riemannian space forms
by: Bernig, Andreas, et al.
Published: (2021)

On the propagation of singularities of constant curvature, convex hypersurfaces
by: Smith, Graham
Published: (2024)

Some minimal hypersurfaces in the ($n+1$)-space with $2m$-norm
by: Sakaki, Makoto, et al.
Published: (2025)

Constant mean curvature surfaces from ring patterns: Geometry from combinatorics
by: Bobenko, Alexander I., et al.
Published: (2024)

Seeing Through Hyperbolic Space: Visibility for $λ$-Geodesic Hyperplanes
by: Kabluchko, Zakhar, et al.
Published: (2026)

Rotational surfaces in a normed 3-space whose principal curvatures satisfy a linear relation
by: Sakaki, Makoto, et al.
Published: (2024)

On the uniform convexity of the squared distance
by: Sipos, Andrei
Published: (2025)

The convex hull of a convex space curve with four vertices
by: Bohr, Jakob, et al.
Published: (2018)

Discrete minimal surfaces: Old and New
by: Lam, Wai Yeung, et al.
Published: (2025)

Affine isoperimetric type inequalities for static convex domains in hyperbolic space
by: Hu, Yingxiang, et al.
Published: (2025)

Envelopes of Bisection Lines of Polygons
by: da Silva, Joel Albertacci Marques, et al.
Published: (2022)

Cheeger sets for rotationally symmetric planar convex bodies
by: Cañete, Antonio
Published: (2024)

A complete family of Alexandrov-Fenchel inequalities for convex capillary hypersurfaces in the half-space
by: Hu, Yingxiang, et al.
Published: (2022)

Continuity of total curvatures of Riemannian hypersurfaces
by: Ghomi, Mohammad
Published: (2025)

Simple closed geodesics on regular spherical polyhedra
by: Sukhorebska, Darya
Published: (2024)

Prescribed $L_{p}$ curvature problem for convex capillary hypersurface
by: Mei, Xinqun, et al.
Published: (2025)

Soft cells, Kelvin's foam and the minimal surfaces of Schwarz
by: Domokos, Gábor, et al.
Published: (2024)

Illumination Bodies in Projective Geometries
by: Assouline, Rotem, et al.
Published: (2026)

Some classes of minimal surfaces in the $3$-space with $2m$-norm
by: Sakaki, Makoto, et al.
Published: (2024)

Products of hyperbolic spaces
by: Pinto, Pedro, et al.
Published: (2024)

Rigidity of CMC hypersurfaces in 5-and 6-manifolds
by: Hong, Han, et al.
Published: (2024)

Stability of the Blaschke-Santaló inequality in the plane
by: Ivaki, Mohammad N.
Published: (2014)

Tileable Surfaces
by: Brander, David, et al.
Published: (2025)

Heintze-Karcher inequality for anisotropic free boundary hypersurfaces in convex domains
by: Jia, Xiaohan, et al.
Published: (2023)

On the intrinsic geometry of polyhedra: Convex polygon coordinates
by: Romanowska, Anna B., et al.
Published: (2026)