Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1626-1632.

• Articles • Previous Articles     Next Articles

Generic Submanifolds with Flat Normal Bundle in a Complex Projective Space

 YIN Song-Ting, SONG Wei-Dong   

  1. 1.Department of Mathematics and Computer Science, Tongling College, Anhui |Tongling |244000;
    2.College of Mathematics and Computer Science, Anhui Normal University, Anhui Wuhu 241000
  • Received:2011-03-18 Revised:2011-11-26 Online:2011-12-25 Published:2011-12-25

Abstract:

In this paper, the authors study the relation  between properties on curvature and geometry of generic submanifolds with flat normal bundle in a complex projective space. By using the moving-frame method, the rigidity theorems on sectional curvature, Ricci curvature and the length of second fundamental form are obtained, which generalize and improve some results in the relevant literatures.

Key words: Complex projective space, Generic submanifold, Flat normal bundle

CLC Number: 

  • 53C40
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