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Submanifolds with Parallel Mean Curvature Vector in Local Symmetric Spaces

HE Dan   

  1. Department of Mathematics, Zhejiang University, Hangzhou 310028, China
  • Received:2002-09-20 Revised:1900-01-01 Online:2003-04-26 Published:2003-04-26
  • Contact: HE Dan

Abstract: The present paper deals with the pinching problems on the compact subm anifolds with a parallel mean curvature vector in a local symmetric space and a pinching theorem on the square of the second fundamental module length of this k ind of submanifolds is obtained and two known results of Song Wei-dong and Ouya ng Chong-zhen have been generallized.

Key words: local symmetry, parallel mean curvature vector, toally umbilical

CLC Number: 

  • O186