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arXiv · 1911.00631

Stability and area growth of $\lambda$-hypersurfaces

Qing-Ming Cheng·Guoxin Wei
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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.

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Qing-Ming Cheng, Guoxin Wei. 2019-11-02. Stability and area growth of $\lambda$-hypersurfaces. https://arxiv.org/abs/1911.00631

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