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

作者：Ding, Qi^*

来源：Transactions of the American Mathematical Society, 2018, 370(12): 8311-8329.

DOI：10.1090/tran/7578

• MEAN-CURVATURE FLOW
• REGULARITY THEOREM
• VOLUME GROWTH
• GAP THEOREM
• HYPERSURFACES
• SINGULARITIES
• UNIQUENESS
• SOLITONS

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).

• 出版日期2018-12
• 单位复旦大学