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