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 NameAffiliation
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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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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