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