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On pseudo-umbilical submanifolds in a Riemannian manifoldof quasi constant curvature

SONG Wei-dong, CHU Zhao-fang   

  1. Department of Mathematics, Anhui Normal University, Wuhu 241000, China
  • Received:2003-09-30 Revised:1900-01-01 Online:2004-07-26 Published:2004-07-26
  • Contact: SONG Wei-dong

Abstract: In this paper, we discussed the compact pseudo-umbilical submanifolds in a Riemannian manifold of quasi constant curvature. We gave an integral inequality of Simons' type.

Key words: Riemannian manifold of quasi constant curvature, pseudo umbilical submanifold, integral inequality

CLC Number: 

  • O186.16