Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (4): 372-379.

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Some Inequalities for Submanifolds in Cosymplectic Space Forms

  

  1. Department of Mathematics,Henan Normal University,Xinriang 453007,China
  • Received:2004-09-05 Online:2005-12-30 Published:2024-01-04
  • About author:LI Xing-xiao(1958-),male,native of Jiyuan,Henan,a professor of Henan Normal University, Ph.D.,engages in Riemannian geometry and submanifolds;HUANG Guang-yue(1976-),male native of Puyang, Henan,a lecture of Henan Normal University,M.S.D.,engages in Riemannian geometry.
  • Supported by:
     Supported by the Natural Science Foundation of Henan(004051900);

Abstract: For submanifolds in a cosymplectic space form tangent to the structure vector field ξ, two important inequalities with Ricci curvature, scalar curvature and the squared mean curvature are obtained. These results are also applied to get corresponding consequences for anti-invariant submanifolds.

Key words: cosymplectic space forms, anti-invariant submanifolds

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