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arXiv · 2211.02238

Umbilicity of constant mean curvature hypersurfaces into space forms

A. C. Bezerra·F. Manfio
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Abstract

In this paper we establish conditions on the length of the traceless part of the second fundamental form of a complete constant mean curvature hypersurface immersed in a space of constant sectional curvature in order to show that it is totally umbilical.

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BibTeXRIS

A. C. Bezerra, F. Manfio. 2022-11-04. Umbilicity of constant mean curvature hypersurfaces into space forms. https://arxiv.org/abs/2211.02238

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