Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
10.22060/ajmc.2025.24140.1376
Abstract
In this paper, we study projective algebra of the new class of $(\alpha, \beta)$-metrics introduced by Piscoran-Mishra in Finsler geometry. The projective algebra of a Finsler space is a finite-dimensional Lie algebra with respect to the usual Lie bracket. We show that if to this class of Finsler metrics, admits a projective vector field, then this is a conformal vector field with respect to Riemannian metric $\alpha$ or $F$ has vanishing $S$-curvature.
Rafie-Rad,M. and Sadati,S. Y. (2026). Some properties of a new class of $(\alpha, \beta)$-metrics. (e6082). AUT Journal of Mathematics and Computing, (), e6082 doi: 10.22060/ajmc.2025.24140.1376
MLA
Rafie-Rad,M. , and Sadati,S. Y. . "Some properties of a new class of $(\alpha, \beta)$-metrics" .e6082 , AUT Journal of Mathematics and Computing, , , 2026, e6082. doi: 10.22060/ajmc.2025.24140.1376
HARVARD
Rafie-Rad M., Sadati S. Y. (2026). 'Some properties of a new class of $(\alpha, \beta)$-metrics', AUT Journal of Mathematics and Computing, (), e6082. doi: 10.22060/ajmc.2025.24140.1376
CHICAGO
M. Rafie-Rad and S. Y. Sadati, "Some properties of a new class of $(\alpha, \beta)$-metrics," AUT Journal of Mathematics and Computing, (2026): e6082, doi: 10.22060/ajmc.2025.24140.1376
VANCOUVER
Rafie-Rad M., Sadati S. Y. Some properties of a new class of $(\alpha, \beta)$-metrics. AUT J Math Comput, 2026; (): e6082. doi: 10.22060/ajmc.2025.24140.1376
