Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 1083-1090.

• Articles • Previous Articles     Next Articles

Locally Dual Flat Randers Metrics

 ZHOU Yu-Sheng   

  1. Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nanjing 210016|Department of Mathematics, Guiyang University, Guiyang 550005
  • Received:2008-10-10 Revised:2010-04-06 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    贵阳学院院级项目(200809)资助

Abstract:

In this paper, we find equations that charactrize locally dual flat Finsler metrics in the form F=α+β, where α=√aijyiyj is a Riemannian metric and β=biyi is a 1-form. Then we completely determine the local structure of those when α is of constant curvature or β is closed.

Key words: Locally dual flat, Locally projectively flat, Randers metrics

CLC Number: 

  • 53B40
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