$\lambda$-超曲面的稳定性与面积增长

Qing-Ming Cheng; Guoxin Wei

$\lambda$-超曲面的稳定性与面积增长

微分几何 2019-11-05 v1

作者: Qing-Ming Cheng , Guoxin Wei

摘要

本文中，我们定义 $\mathcal{F}$ -泛函并研究 $\lambda$ -超曲面的 $\mathcal{F}$ -稳定性，推广了 Colding-Minicozzi 的一个结果。我们研究了完备非紧 $\lambda$ -超曲面的面积下界增长与上界增长。

关键词

$\lambda$-超曲面 $\mathcal{F}$-泛函稳定性面积增长微分几何

引用

@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}
}

备注

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

$\lambda$-超曲面的稳定性与面积增长

摘要

关键词

引用

备注

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