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Space-like submanifolds in the de Sitter spaces

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Indexed by:期刊论文

Date of Publication:2002-01-01

Journal:JOURNAL OF GEOMETRY AND PHYSICS

Included Journals:Scopus、SCIE

Volume:40

Issue:3-4

Page Number:370-378

ISSN No.: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.

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