Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2002-01-01

Journal: JOURNAL OF GEOMETRY AND PHYSICS

Included Journals: SCIE、Scopus

Volume: 40

Issue: 3-4

Page Number: 370-378

ISSN: 0393-0440

Key Words: space-like submanifold; de Sitter space; totally umbilical submanifold

Abstract: In this paper, by using Cheng-Yau's self-adjoint operator rectangle, we study the space-like submanifolds in the de Sitter spaces and obtain some general rigidity results. (C) 2002 Elsevier Science B.V. All rights reserved.