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On Pseudo-Umbilical Spacelike Submanifolds in de Sitter Space
Received:July 12, 2004
Key Words
:
pseudo-Riemannian space
pseudo-umbilical
spacelike
totally geodesic
integral inequality.
Fund Project
:
the Natural Foundation of Education Committee of Anhui Province (2004kj166zd)
Author Name
Affiliation
SONG Wei-dong
Dept. of Math.
,
Anhui Normal University
,
Wuhu 241000
,
China
PAN Xue-yan
Dept. of Math.
,
Anhui Normal University
,
Wuhu 241000
,
China
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:
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:
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Abstract
:
This paper deals with the compact pseudo-umbilical spacelike submanifolds in de Sitter space, and obtains an integrate inequality and some rigidity theorems.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2006.04.024
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