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arXiv · 2205.00128

Examples of compact embedded $λ$-hypersurfaces

Qing-Ming Cheng·Junqi Lai·Guoxin Wei
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Abstract

In the paper, we construct compact embedded $λ$-hypersurfaces which are diffeomorphic to a sphere and are not isometric to a standard sphere. Hence, one can not expect to have Alexandrov type theorem for $λ$-hypersurfaces.

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Qing-Ming Cheng, Junqi Lai, Guoxin Wei. 2023-11-16. Examples of compact embedded $λ$-hypersurfaces. https://arxiv.org/abs/2205.00128

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