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math.DG2007★ 2 cited
The quermassintegral inequalities for starshaped domains
Pengfei Guan, Junfang Li
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 expandi…
math.DG2003★ 2 cited
Geometric inequalities on locally conformally flat manifolds
Pengfei Guan, Guofang Wang
Through the study of some elliptic and parabolic fully nonlinear PDEs, we establish conformal versions of quermassintegral inequality, the Sobolev inequality and the Moser-Trudinge…