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Space-like submanifolds in de Sitter spaces

Ximin Liu

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Let M n be a space-like submanifold in a de Sitter space Mpn + p(c) with flat normal bundle. This paper gives some intrinsic conditions for M n to be totally umbilical.


PACS

02.40.Vh Global analysis and analysis on manifolds

02.30.Tb Operator theory

MSC

53C40 Global submanifolds (See also 53B25)

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

Subjects

Mathematical physics

Dates

Issue 26 (6 July 2001)

Received 16 March 2001

Published 22 June 2001



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