The r-mean curvature and rigidity of compact hypersurfaces in the Euclidean space
Sign Up to like & getrecommendations! Published in 2021 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-021-09803-3
Abstract: In this paper, we characterize round spheres in the Euclidean space under some suitable conditions on the r-mean curvature. read more here.
Keywords: curvature rigidity; mean curvature; euclidean space; rigidity compact ... See more keywords
Rigidity of Compact Fuchsian Manifolds with Convex Boundary
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DOI: 10.1093/imrn/rnab270
Abstract: A compact Fuchsian manifold with boundary is a hyperbolic 3-manifold homeomorphic to $S_g \times [0; 1]$ such that the boundary component $S_g \times \{ 0\}$ is geodesic. We prove that a compact Fuchsian manifold with… read more here.
Keywords: fuchsian manifolds; rigidity compact; convex boundary; manifolds convex ... See more keywords