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On Ricci Curvature of Semi-invariant Submanifolds in Cosymplectic Space Forms
Received:September 16, 2004
Revised:October 23, 2005
Key Words
:
cosymplectic manifold
semi-invariant submanifold
Ricci curvature
mean curvature.
Fund Project
:
Specialized Research Fund for the Doctoral Program of Higher Education (20050141011)
Author Name
Affiliation
Wang Ai-qi
Department of Mathematics and Physics
,
Dalian Jiaotong University
,
Liaoning 116028
,
China
Liu Xi-min
Department of Applied Mathematics
,
Dalian University of Technology
,
Liaoning 116024
,
China
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:
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:
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Abstract
:
In this paper, we obtain a sharp inequality between the Ricci curvature and the squared mean curvature of semi-invariant submanifolds in cosymplectic space forms, and get some conditions to make the equality hold.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2007.01.026
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