Isoperimetric regions in cones

被引：46

作者：

Morgan, F ^{[1
]}

Ritoré, M

机构：

[1] Williams Coll, Dept Math, Boston, MA 02167 USA

[2] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 354卷 / 06期

关键词：

D O I：

10.1090/S0002-9947-02-02983-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider cones C = 0 x M-n and prove that if the Ricci curvature of C is nonnegative, then geodesic balls about the vertex minimize perimeter for given volume. If strict inequality holds, then they are the only stable regions.

引用

页码：2327 / 2339

页数：13

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