On Special Berwald Metrics

Details On Special Berwald Metrics On Special Berwald Metrics

2010-01-20

arxiv.org/abs/1001.3654v1

SIGMA 6 (2010), 008, 9 pages

Mathematics

Differential Geometry

Scientific paper

10.3842/SIGMA.2010.008

In this paper, we study a class of Finsler metrics which contains the class of Berwald metrics as a special case. We prove that every Finsler metric in this class is a generalized Douglas-Weyl metric. Then we study isotropic flag curvature Finsler metrics in this class. Finally we show that on this class of Finsler metrics, the notion of Landsberg and weakly Landsberg curvature are equivalent.

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