Stability and area growth of $\lambda$-hypersurfaces

Qing-Ming Cheng; Guoxin Wei

Stability and area growth of $\lambda$-hypersurfaces

Differential Geometry 2019-11-05 v1

Authors: Qing-Ming Cheng , Guoxin Wei

Abstract

In this paper, We define a $\mathcal{F}$ -functional and study $\mathcal{F}$ -stability of $\lambda$ -hypersurfaces, which extend a result of Colding-Minicozzi. Lower bound growth and upper bound growth of area for complete and non-compact $\lambda$ -hypersurfaces are studied.

Keywords

hypersurfaces harmonic functions

Cite

@article{arxiv.1911.00631,
  title  = {Stability and area growth of $\lambda$-hypersurfaces},
  author = {Qing-Ming Cheng and Guoxin Wei},
  journal= {arXiv preprint arXiv:1911.00631},
  year   = {2019}
}

Comments

This paper is the second part of our paper arXiv:1403.3177, which is divided into two parts. The first part has been published in Calc. Var. (2018), the second part will appear in Comm. Anal. Geom

Related papers

View all related →