On isometric and conformal rigidity of submanifolds

被引：5
|
作者：
Silva, SL [1 ]
机构：
[1] Univ Estadual Rio de Janeiro, Dept Estruturas Matemat, IME, BR-20550013 Rio De Janeiro, Brazil
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2001年 / 199卷 / 01期
关键词：
D O I：
10.2140/pjm.2001.199.227
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we introduce a new conformal invariant and we prove a conformal rigidity theorem which has no restriction on the size of the codimension. We also prove an isometric rigidity theorem whose assumptions are less restrictive than in Allendoerfer's theorem.
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页码：227 / 247
页数：21
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