Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 6 (2010), 008, 9 pages      arXiv:1001.3654

On Special Berwald Metrics

Akbar Tayebi a and Esmaeil Peyghan b
a) Department of Mathematics, Faculty of Science, Qom University, Qom, Iran
b) Department of Mathematics, Faculty of Science, Arak University, Arak, Iran

Received November 01, 2009, in final form January 17, 2010; Published online January 20, 2010

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.

Key words: Randers metric; Douglas curvature; Berwald curvature.

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