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Examples of compact embedded $λ$-hypersurfaces

Published 30 Apr 2022 in math.DG | (2205.00128v2)

Abstract: In the paper, we construct compact embedded $\lambda$-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 $\lambda$-hypersurfaces.

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