Self-shrinkers with bounded HA

Abstract

We study integral and pointwise bounds on the second fundamental form of properly immersed self-shrinkers with boundedHA. As applications, we discuss gap and compactness results for self-shrinkers.

arXiv comment16 pages

References in corpus (2)

• The mean curvature at the first singular time of the mean curvature flow
• On Ilmanen's multiplicity-one conjecture for mean curvature flow with type-I mean curvature