JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (2): 55-59.doi: 10.6040/j.issn.1671-9352.0.2016.374

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Inequalities for Casorati curvatures of submanifolds in a Riemannian manifold of quasi-constant curvature with a semi-symmetric metric connection

LIU Xu-dong, PAN Xu-lin, ZHANG Liang*   

  1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2016-07-31 Online:2017-02-20 Published:2017-01-18

Abstract: By using a new algebraic inequality, we obtain two inequalities for generalized normalized Casorati curvatures of submanifolds in a Riemanian manifold of quasi-constant curvature with a semi-symmetric metric connection.

Key words: inequality, Casorati curvature, Riemannian manifold of quasi-constant curvature, semi-symmetric metric connection

CLC Number: 

  • O186
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