Compactness and Rigidity of $\lambda$-Surfaces
Differential Geometry
2018-12-07 v2
Abstract
In this paper we develop the compactness theorem for -surface in with uniform , genus, and area growth. This theorem can be viewed as a generalization of Colding-Minicozzi's compactness theorem for self-shrinkers in . As an application of this compactness theorem, we prove a rigidity theorem for convex -surfaces.
Cite
@article{arxiv.1804.09316,
title = {Compactness and Rigidity of $\lambda$-Surfaces},
author = {Ao Sun},
journal= {arXiv preprint arXiv:1804.09316},
year = {2018}
}
Comments
19 pages. Correct a mistake pointing out by Jonathan Zhu. Comments are welcomed!