On a class of locally projectively flat Finsler metrics

نویسندگان

  • H.M. Zhu College of Mathematics and Information Science‎, ‎Henan Normal University‎, ‎Xinxiang‎, ‎453007‎, ‎China.
  • X.H. Mo Key Laboratory of Pure and Applied Mathematics‎, ‎School of Mathematical Sciences‎, ‎Peking University‎, ‎Beijing 100871‎, ‎China.
چکیده مقاله:

‎In this paper we study Finsler metrics with orthogonal invariance‎. ‎We‎ ‎find a partial differential equation equivalent to these metrics being locally projectively flat‎. ‎Some applications are given‎. ‎In particular‎, ‎we give an explicit construction of a new locally projectively flat Finsler metric of vanishing flag curvature which differs from the Finsler metric given by Berwald in 1929.

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عنوان ژورنال

دوره 43  شماره 3

صفحات  735- 746

تاریخ انتشار 2017-06-01

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