On Pseudo-Umbilical Spacelike Submanifolds in Indefinite Space Form Mn+p p (c)
Differential Geometry
2019-07-04 v1
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.
Keywords
Cite
@article{arxiv.1907.01931,
title = {On Pseudo-Umbilical Spacelike Submanifolds in Indefinite Space Form Mn+p p (c)},
author = {Majid Ali Choudhary},
journal= {arXiv preprint arXiv:1907.01931},
year = {2019}
}