A geometric inequality on hypersurface in hyperbolic space
By Haizhong Li, Yong Wei, Changwei Xiong. 2012
70 citations recorded by the source corpus.
In this paper, we use the inverse curvature flow to prove a sharp geometric inequality on star-shaped and two-convex hypersurface in hyperbolic space.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/79872f4a95328b03f71bca4e0de46060ac27830a
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Volume preserving flow and Alexandrov–Fenchel type inequalities in hyperbolic space (2018, methodology): “Note that the inequality (1.13) with k = 2 was proved earlier by the third author with Li and Xiong [22] for star-shaped and 2-convex domains using the inverse curvature flow in hyperbolic space.”
- Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space (2013, methodology): “ if the domain is a geodesic ball. In other words, only geodesic balls solve the corresponding isoperimetric problem. More recently, several interesting works have appeared in this research field, see [5, 13, 18, 19, 29]. In [18, 19, 29], the authors solve some special cases of the isoperimetric type”