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arXiv · 2208.07726

Warped product hypersurfaces in the pseudo-Euclidean space

Marilena Moruz
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Abstract

We study hypersurfaces in the pseudo-Euclidean space $\mathbb{E}^{n+1}_s$, 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 the pseudo-Euclidean space.

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Marilena Moruz. 2022-08-16. Warped product hypersurfaces in the pseudo-Euclidean space. https://arxiv.org/abs/2208.07726

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