On Natário's Minkowski‐type inequality in the hyperbolic space
Abstract We apply Brendle–Guan–Li's inverse curvature–type flow to prove a family of sharp inequalities for curvature integrals and their rigidity results for hypersurfaces in the hyperbolic space. In particular, we provide a new short proof of Natário's Minkowski‐type inequality and its rigidity for convex surfaces in the hyperbolic 3‐space.
Authors
- Yong Wei (ORCID: https://orcid.org/0000-0002-9460-9217)
Institutions
- University of Science and Technology of China (CN)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-05-23
- DOI
- https://doi.org/10.1112/blms.70106
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00