Journal of Jilin University Science Edition

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Inequalities for Casorati Curvatures of Submanifoldsin a Bochner Kaehler Manifold

LIU Xudong, CAI Dandan, ZHANG Liang   

  1. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003, Anhui Province, China
  • Received:2017-06-26 Online:2018-05-26 Published:2018-05-18
  • Contact: ZHANG Liang E-mail:zhliang43@163.com

Abstract: By using a new algebraic inequality, we established two inequalities for generalized normalized Casorati curvatures of submanifolds in a Bochner Kaehler manifold,which gave relationships between the normalized scalar curvatures and the extrinsic invariants Casorati curvatures of submanifolds.

Key words: slant submanifold, Casorati curvature, Bochner Kaehler manifold, Einstein manifold, inequality

CLC Number: 

  • O186.12