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Warped product hypersurfaces in pseudo-riemannian real space forms

Abstract : We study hypersurfaces in pseudo-Riemannian real space forms of non-zero sectional curvature, which write as a warped product of a 1-dimensional base with an (n − 1)-manifold of constant sectional curvature. We show that either they have constant sectional curvature or they are contained in a rotational hypersurface. Therefore, we first define rotational hypersurfaces in indefinite real space forms of non-zero sectional curvature.
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https://hal-uphf.archives-ouvertes.fr/hal-03722924
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Submitted on : Wednesday, July 13, 2022 - 5:07:00 PM
Last modification on : Thursday, July 14, 2022 - 3:13:02 AM

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Marilena Moruz, Luc Vrancken. Warped product hypersurfaces in pseudo-riemannian real space forms. AMS Special Session on Geometry of Submanifolds, in honor of Bang-Yen Chen's 75th birthday, Oct 2018, Ann Arbor, Michigan, United States. pp.173-186, ⟨10.1090/conm/756/15207⟩. ⟨hal-03722924⟩

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