On a class of locally projectively flat Finsler metrics

Document Type : Research Paper

Authors

1 Key Laboratory of Pure and Applied Mathematics‎, ‎School of Mathematical Sciences‎, ‎Peking University‎, ‎Beijing 100871‎, ‎China.

2 College of Mathematics and Information Science‎, ‎Henan Normal University‎, ‎Xinxiang‎, ‎453007‎, ‎China.

Abstract

‎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.

Keywords

Main Subjects


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