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arXiv · 1305.4629

Generalized P-Reducible Finsler Metrics

E. Peyghan·A. Tayebi·A. Heydari
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Abstract

In this paper, we study a class of Finsler metrics which contains the class of P-reducible metrics. Finsler metrics in this class are called generalized P-reducible metrics. We consider generalized P-reducible metrics with scalar flag curvature and find a condition under which these metrics reduce to C-reducible metrics. This generalize Matsumotos theorem, which describes the equivalency of C-reducibility and P-reducibility on Finsler manifolds with scalar curvature. Then we show that generalized P-reducible metrics with vanishing stretch curvature are C-reducible.

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BibTeXRIS

E. Peyghan, A. Tayebi, A. Heydari. 2013-05-19. Generalized P-Reducible Finsler Metrics. https://arxiv.org/abs/1305.4629

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