Total mean curvatures of Riemannian hypersurfaces
DOI10.1515/ans-2022-0029OpenAlexW4315490176MaRDI QIDQ2685124
Publication date: 19 February 2023
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.07624
mixed volumehyperbolic spaceCartan-Hadamard manifoldquermassintegralgeneralized mean curvatureReilly's formulas
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Elliptic equations on manifolds, general theory (58J05) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inequalities of Alexandrov-Fenchel type for convex hypersurfaces in hyperbolic space and in the sphere
- Integral geometry and geometric inequalities in hyperbolic space
- Monotonicity of integral Gauss curvature
- An isoperimetric comparison theorem
- Intrinsic curvatures in analytic-geometric categories
- The volume of a small geodesic ball of a Riemannian manifold
- Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds
- Harmonic mean curvature flow and geometric inequalities
- Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space
- On the Hessian of a function and the curvature of its graph
- A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
- On the curvatura integra in a Riemannian manifold
- On the total curvature of convex hypersurfaces in hyperbolic spaces
- Local Rigidity of Symmetric Spaces of Nonpositive Curvature
- Differential geometry of geodesic spheres.
- Locally Convex Hypersurfaces of Negatively Curved Spaces
- The Brunn-Minkowski inequality
- Convex Bodies The Brunn-MinkowskiTheory
- Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces
This page was built for publication: Total mean curvatures of Riemannian hypersurfaces
