Complete spacelike submanifolds in de Sitter spaces with \({R=aH+b}\)

Authors

  • Jiancheng Liu Northwest Normal University
  • Jingjing Zhang Northwest Normal University

Keywords:

de Sitter space, spacelike submanifold, parallel normalized mean curvature

Abstract

In this paper, we give a classification on spacelike submanifolds with parallel normalized mean curvature vector field and the linear relation $R=aH+b$ of the normalized scalar curvature $R$ and the mean curvature $H$ in the de Sitter space $S^{n+p}_p(c)$. 10.1017/S0004972712001141

Author Biographies

Jiancheng Liu, Northwest Normal University

College of Mathematics and Information Science

Jingjing Zhang, Northwest Normal University

College of Mathematics and Information Science

Published

2013-04-29

Issue

Vol. 87 No. 3 (2013)

Section

Articles
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