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On Special Berwald Metrics

2010/01/20 by Akbar Tayebi, Esmaeil Peyghan · 1 citation
Mathematics · #math.DG

paper · pdf · doi:10.3842/sigma.2010.008

published as SIGMA 6 (2010), 008, 9 pages

arxiv created 2010/01/20 · arxiv updated 2010/02/26

Abstract

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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