On Pseudo-Umbilical Spacelike Submanifolds in Indefinite Space Form Mn+p p (c)

2019/07/02 by Majid Ali Choudhary, Choudhary, Majid Ali
Mathematics · #53C40 #53C42 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1907.01931

openalex publication_date 2019/07/02 · openalex created_date 2019/07/12 · openalex updated_date 2026/07/28

Abstract

In the present note, first we derive an intrinsic inequality for Pseudo-umbilical spacelike submanifold in an indefinite space form. We use this inequality to show that such submanifold is totally geodesic. In the rest part of this paper, using a result of Aiyama [1], we prove that Pseudo-umbilical spacelike subamnifold is totally umbilical.

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