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Rigidity Theorems for Relative Tchebychev Hypersurfaces

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Abstract

In this paper, we calculate the Laplacian of the norm of the cubic Simon form for a hypersurface with a relative normalization. The method used here is developed in the rigidity theory of minimal submanifolds. As consequences, we obtain some local and global rigidity theorems about relative Tchebychev hypersurfaces.

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Li, M. Rigidity Theorems for Relative Tchebychev Hypersurfaces. Results. Math. 70, 283–298 (2016). https://doi.org/10.1007/s00025-015-0487-6

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  • DOI: https://doi.org/10.1007/s00025-015-0487-6

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