Abstract
In this paper, we study Finsler Σ-spaces. We first prove that any Σ-space is a homogeneous Finsler space. Then we study some geometric properties of Berwald Σ-spaces and prove that any generalized symmetric Berwald space is a Berwald Σ-space where Σ is cyclic. Then we show that if each S σ is parallel with respect to Berwald connection of a Berwald Σ-space then the space is locally symmetric. Finally we study some existence theorems.
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Original Russian Text © D. Latifi, M. Toomanian, 2015, published in Izvestiya NAN Armenii. Matematika, 2015, No. 3, pp. 22–35.
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Latifi, D., Toomanian, M. On Finsler Σ-spaces. J. Contemp. Mathemat. Anal. 50, 119–127 (2015). https://doi.org/10.3103/S1068362315030036
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DOI: https://doi.org/10.3103/S1068362315030036