Warped product hypersurfaces in the pseudo-Euclidean space

2022/08/16 by Marilena Moruz, Moruz, Marilena
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2208.07726

openalex publication_date 2022/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study hypersurfaces in the pseudo-Euclidean space 𝔼ⁿ⁺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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