Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 501-508.

• Articles • Previous Articles     Next Articles

On the Geomdesic Curvature of Submanifolds

CHEN Fang-Wei, JIANG De-Shuo   

  1. 1.Department of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang |550004; 2.Department of Mathematics, Shangqiu Normal University, Henan Shangqiu |476000
  • Received:2008-03-20 Revised:2009-05-08 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金 (10671159) 和贵州财经学院在读博士基金资助.

Abstract:

In this paper, the authors investigate the second fundamental forms of the intersection M p∩ gN q of submanifolds M p, N q in a Riemannian space G/H for g ∈ G(the group of isometries). As expected, the second fundamental form of M p gN q can be expressed by the curvatures of M p, N q and the angle between M p and gN p.

Key words: The second fundamental form, Geodesic curvature, Normal curvature

CLC Number: 

  • 53A07
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