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Hypersurfaces in simply connected space forms
Authors:G Santhanam
Institution:(1) Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, 208 016, India
Abstract:Let M be a hypersurface in a simply connected space form $$
\mathbb{M}\left( \kappa  \right)
$$. We prove some rigidity results for M in terms of lower bounds on the Ricci curvature of the hypersurface M.
Keywords:Hypersurface  Ricci curvature  space forms  totally umbilic  horosphere
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