A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension

Article

DOI: 10.1007/s00526-012-0508-1

Cite this article as:
Cao, HD. & Li, H. Calc. Var. (2013) 46: 879. doi:10.1007/s00526-012-0508-1

Abstract

In this paper, we prove a classification theorem for self-shrinkers of the mean curvature flow with |A|2 ≤ 1 in arbitrary codimension. In particular, this implies a gap theorem for self-shrinkers in arbitrary codimension.

Mathematics Subject Classification (2000)

Primary 53C44 Secondary 53A10 

Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Department of MathematicsLehigh UniversityBethlehemUSA
  2. 2.Department of Mathematical SciencesTsinghua UniversityBeijingPeople’s Republic of China