Examples of compact embedded $\lambda$-hypersurfaces
Differential Geometry
2023-11-17 v2
Abstract
In the paper, we construct compact embedded -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 -hypersurfaces.
Cite
@article{arxiv.2205.00128,
title = {Examples of compact embedded $\lambda$-hypersurfaces},
author = {Qing-Ming Cheng and Junqi Lai and Guoxin Wei},
journal= {arXiv preprint arXiv:2205.00128},
year = {2023}
}
Comments
10 pages, 6 figures,to appear in Journal of Functional Analysis