On the Pseudo-umbilical Submanifolds of a Locally Symmetric Space
Received:July 02, 1997  
Key Words: locally symmetric   pseudo-umbiIical submanifolds   totally umbilical  
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Author NameAffiliation
SONG Wei-dong Dept. of Math.
Anhui Normal Univ.
Wuhu 241000 
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      In this paper, We discussed the compact pseudo-umbilical submanifolds Mn with parallel mean curvature vector in a locally symmetric Riemannian manifold Nn+p, and get some pinching theorems that Mn be an totally umbilical submanifold and reduction of the codimension.
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