Naturally reductive homogeneous $(\alpha ,\beta )$-metric spaces
- 1 January 2021
- journal article
- research article
- Published by Masaryk University Press in Archivum Mathematicum
- Vol. 57 (1), 1-11
- https://doi.org/10.5817/am2021-1-1
Abstract
In the present paper we study naturally reductive homogeneous $(\alpha ,\beta )$-metric spaces. We show that for homogeneous $(\alpha ,\beta )$-metric spaces, under a mild condition, the two definitions of naturally reductive homogeneous Finsler space, given in the literature, are equivalent. Then, we compute the flag curvature of naturally reductive homogeneous $(\alpha ,\beta )$-metric spaces.Keywords
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