Spacelike submanifolds with parallel mean curvature vector in a de Sitter space S q n + p ( c ) $S^{n+p}_{q}(c)$

Spacelike submanifolds with parallel mean curvature vector in a de Sitter space S q n + p ( c ) $S^{n+p}_{q}(c)$

Abstract Spacelike submanifolds usually appear in the study of questions related to causality in general relativity. In this paper, we study an n-dimensional spacelike submanifold in ( n + p ) $(n + p)$ -dimensional connected de Sitter space S q n + p ( c ) $S^{n+p}_{q}(c)$ of index q ( 1 ≤ q ≤ p $1...

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Bibliographic Details
Main Authors: Junfeng Chen, Sanyang Liu, Shichang Shu
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of Inequalities and Applications
Subjects:
De Sitter space
Spacelike submanifold
Totally umbilical
Rigidity theorems
Online Access:http://link.springer.com/article/10.1186/s13660-020-02469-8

Internet

http://link.springer.com/article/10.1186/s13660-020-02469-8

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