Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 174-178.

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Totally Real Sectional Curvature for Submanifolds in Sasakian Space Forms

  

  1. Department of Mathematics, Henan Normal University

  • Received:2008-06-23 Online:2011-06-30 Published:2023-04-26
  • About author:HUANG Guang-yue(1976-), male, native of Puyang, Henan, an associate professor of Henan Normal University, Ph.D., engages in geometric analysis.
  • Supported by:
    Supported by the NSFC of China(11001076); Supported by the NSF of Henan Provincial Education Department(2010A110008);

Abstract: By using the methods introduced by Chen[Chen Bang-yen, A series of Kahlerian invarianrts and their applications to Kahlerian geometry, Beitrage Algebra Geom,2001,42(1):165-178], we establish some inequalities for invariant submanifolds in a Sasakian space form involving totally real sectional curvature and the scalar curvature. Moreover, we consider the case of equalities.

Key words: Sasakian space forms, invariant submanifolds

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