On a class of locally projectively flat Finsler metrics
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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.
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Journal title
volume 43 issue 3
pages 735- 746
publication date 2017-06-01
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