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RIGIDITY THEOREM ON THE SECOND FUNDAMENTAL FORM FOR SELF-SHRINKERS.

Authors :
QI DING
Source :
Transactions of the American Mathematical Society. 12/1/2018, Vol. 370 Issue 12, p8311-8329. 19p.
Publication Year :
2018

Abstract

In Theorem 3.1 of The rigidity theorems of self-shrinkers (2014), the author and Y. L. Xin proved a rigidity result for self-shrinkers under the integral condition on the norm of the second fundamental form. In this paper, we relax such a bound to any finite constant (see Theorem 4.4 for details). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029947
Volume :
370
Issue :
12
Database :
Academic Search Index
Journal :
Transactions of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
132500188
Full Text :
https://doi.org/10.1090/tran/7578