Mass-Capacity Inequalities for Conformally Flat Manifolds with Boundary
Mass-Capacity Inequalities for Conformally Flat Manifolds with Boundary
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DOI：
10.1080/03605302.2013.851211
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发表时间：
2011-07
影响因子：
1.9
通讯作者：
A. Freire;F. Schwartz
中科院分区：
文献类型：
--
作者：
A. Freire;F. Schwartz
本文证明了任意维共形平坦流形上的一个质量-容量不等式和一个体积PenRose不等式。作为证明的一个副产品，得到了均值-凸欧氏区域的容量和Aleksandrov-Fichel不等式。对于每一种不平等，平等的情况都是有特征的。
In this paper we prove a mass-capacity inequality and a volumetric Penrose inequality for conformally flat manifolds, in arbitrary dimensions. As a by-product of the proofs, capacity and Aleksandrov-Fenchel inequalities for mean-convex Euclidean domains are obtained. For each inequality, the case of equality is characterized.