Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (6): 1089-1098.

• Articles • Previous Articles     Next Articles

On Douglas m-th Root Finsler Metrics

 ZHANG Ran, LI Ben-Ling*   

  1. Ningbo University, Ningbo 315211
  • Received:2012-05-04 Revised:2013-08-13 Online:2013-12-25 Published:2013-12-25
  • Supported by:

    国家自然科学基金(10801080, 11101230)和宁波大学王宽诚基金资助

Abstract:

In this paper, m-th root Finsler metrics and their generalized metrics are studied. It is proved that m-th root Douglas metrics must be Berwaldian. Specially, if they are locally projectively flat, then they must be Riemannian or locally Minkowskian.

Key words: Douglas metric, Berwald metric, m-th root metric, Projective flat

CLC Number: 

  • 53B40
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