Vol. 199, No. 1, 2001

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
On isometric and conformal rigidity of submanifolds

Sérgio L. Silva

Vol. 199 (2001), No. 1, 227–247
Abstract

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.

Milestones
Received: 24 August 1999
Published: 1 May 2001
Authors
Sérgio L. Silva
Universidade Estadual do Rio de Janeiro-UERJ
Departamento de Estruturas Matemáticas-IME
20550-013, Rio de Janeiro
Brazil