A GAP THEOREM OF SELF-SHRINKERS

作者：Cheng, Qing-Ming^*; Wei, Guoxin

来源：Transactions of the American Mathematical Society, 2015, 367(7): 4895-4915.

DOI：10.1090/S0002-9947-2015-06161-3

• The second fundamental form
• elliptic operator
• self-shrinkers

In this paper, we study complete self-shrinkers in Euclidean space and prove that an n-dimensional complete self-shrinker with polynomial volume growth in Euclidean space Rn+1 is isometric to either R-n, S-n(root n), or Rn-m x S-m(root m), 1 <= m <= n - 1, if the squared norm S of the second fundamental form is constant and satisfies S < 10/7.

• 出版日期2015-7
• 单位华南师范大学