Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space

Guofang Wang; Chao Xia

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arXiv · 1304.1674

Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space

Guofang Wang·Chao Xia

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Abstract

In this paper, we solve various isoperimetric problems for the quermassintegrals and the curvature integrals in the hyperbolic space $\H^n$, by using quermassintegral preserving curvature flows. As a byproduct, we obtain hyperbolic Alexandrov-Fenchel inequalities.

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Guofang Wang, Chao Xia. 2013-04-05. Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space. https://arxiv.org/abs/1304.1674

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