English

The quermassintegral inequalities for starshaped domains

Differential Geometry 2008-10-17 v3 Analysis of PDEs

Abstract

We give a simple proof of the insoperimetric inequality for quermassintegrals of non-convex starshaped domains, using a reslut of Gerhardt \cite{G} and Urbas \cite{U} on an expanding geometric curvature flow.

Cite

@article{arxiv.0710.4307,
  title  = {The quermassintegral inequalities for starshaped domains},
  author = {Pengfei Guan and Junfang Li},
  journal= {arXiv preprint arXiv:0710.4307},
  year   = {2008}
}

Comments

7 pages

R2 v1 2026-06-21T09:35:11.279Z