The isoperimetric inequality on conformally parabolic manifolds

被引：4
|
作者：
Kesel'man, V. M. [1 ]
机构：
[1] Moscow State Ind Univ, Moscow, Russia
来源：
SBORNIK MATHEMATICS | 2009年 / 200卷 / 1-2期
基金：
俄罗斯基础研究基金会;
关键词：
Riemannian manifold; conformal type of a manifold; conformal metrics; conformal capacity; isoperimetric function;
D O I：
10.1070/SM2009v200n01ABEH003985
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For non-compact Riemannian manifolds without boundary the following conjecture is proved: on a Riemannian manifold of conformally parabolic type, after a conformal change of the metric the isoperimetric function (responsible for the isoperimetric inequality) can be transformed into the same form as in the case of the Euclidean space of the corresponding dimension. Bibliography: 8 titles.
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页码：1 / 33
页数：33
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