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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
21/2014

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

Guofang Wang and Chao Xia

Abstract

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.

Received:
Feb 18, 2014
Published:
Feb 25, 2014
MSC Codes:
52A40, 53C65, 53C44
Keywords:
quermassintegral, curvature integral, isoperimetric problem, Alexandrov- Fenchel inequality

Related publications

inJournal
2014 Repository Open Access
Guofang Wang and Chao Xia

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

In: Advances in mathematics, 259 (2014), pp. 532-556