JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (09): 84-87.doi: 10.6040/j.issn.1671-9352.0.2014.495

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Inequalities for Casorati curvatures of submanifolds in a riemannian manifold of quasi-constant curvature

PAN Xu-lin, ZHANG Pan, ZHANG Liang   

  1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2014-11-07 Revised:2015-03-03 Online:2015-09-20 Published:2015-09-26

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Abstract: By using the optimization methods on submanifolds, we obtain the inequalities of Casorati curvatures for submanifolds of a Riemanifold manifold of quasi-constant curvature, which generalize the known results.

Key words: inequalities, Casorati curvatures, riemannian manifold of quasi-constant curvature

CLC Number: 

  • O186
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