On weakly symmetric Finsler spaces |
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| Authors: | Parastoo Habibi Asadollah Razavi |
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| Institution: | 1. Department of Mathematics, University of Tabriz, Tabriz, Iran;2. Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, 15914 Tehran, Iran |
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| Abstract: | In this paper, we study weakly symmetric Finsler spaces. We first study an existence theorem of weakly symmetric Finsler spaces. Then we study some geometric properties of these spaces and prove that any such space can be written as a coset space of a Lie group with an invariant Finsler metric. Finally we show that each weakly symmetric Finsler space is of Berwald type. |
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| Keywords: | 53C60 53C30 |
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