Rigidity of nonpositively curved manifolds with convex boundary
DOI10.1090/proc/16475zbMath1527.53041arXiv2210.05588MaRDI QIDQ6095824
Publication date: 8 September 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.05588
hyperbolic spaceCartan-Hadamard manifoldGauss-Kronecker curvaturegap theorembounded sectional curvatureasymptotic rigidityminimal total curvature
Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Convex sets in (3) dimensions (including convex surfaces) (52A15)
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