Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (3): 837-844.

• Articles • Previous Articles     Next Articles

A Class of Conformal Projectively Flat Finsler Manifolds

 ZHANG Jian-Feng   

  1. Department of Mathematics, Lishui University, Zhejiang Lishui 323000
  • Received:2009-09-18 Revised:2010-11-24 Online:2011-06-25 Published:2011-06-25
  • Supported by:

    浙江省自然科学基金(Y6100218)和浙江省重点扶持学科资金(200501)资助

Abstract:

In this paper, we study a class of Finsler manifolds defined by a Riemannian metric and a 1-form. we can get a projectively flat metric from a nonprojectively flat metric only through conformal transformation for some 1-forms and functions φ(s).

Key words: Finsler manifolds, Projectively flat, Conformal transformation

CLC Number: 

  • 53C60
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