Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1345-1352.

• Articles • Previous Articles     Next Articles

Integral Inequalities of Some Harmonic Maps

 ZHOU Zhen-Rong   

  1. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079
  • Received:2009-10-13 Revised:2010-11-22 Online:2011-10-25 Published:2011-10-25
  • Supported by:

    国家自然科学基金(10571068)资助

Abstract:

In this paper, the author calculates the Laplacian of the second fundamental form of a harmonic map, and then uses it to establish integral inequalities on harmonic maps into space forms.

Key words: Harmonic map, Second fundamental form, Space form

CLC Number: 

  • 58E20
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