arXiv:1304.1674 Abstract | arXiv Analytics

arXiv:1304.1674 [math.DG]Abstract References Reviews Resources

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

Published 2013-04-05Version 1

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.

Comments: 20 pages

Categories: math.DG, math.AP

Subjects: 52A40, 53C65, 53C44

Keywords: alexandrov-fenchel type inequalities, isoperimetric type problems, hyperbolic space, hyperbolic alexandrov-fenchel inequalities, quermassintegral preserving curvature flows

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