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.

引用

页码：227 / 247

页数：21

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