@article {
author = {Tabatabaeifar, Tayebeh and Najafi, Behzad},
title = {$(\alpha,\beta)$-Metrics with killing $\beta$ of constant length},
journal = {AUT Journal of Mathematics and Computing},
volume = {1},
number = {1},
pages = {27-36},
year = {2020},
publisher = {Amirkabir University of Technology},
issn = {2783-2449},
eissn = {2783-2287},
doi = {10.22060/ajmc.2018.3038},
abstract = {The class of $(\alpha,\beta)$-metrics is a rich and important class of Finsler metrics, which is extensively studied. Here, we study $(\alpha,\beta)$-metrics with Killing of constant length $1$-form $\beta$ and find a simplified formula for their Ricci curvatures. Then, we show that if $F=\alpha+\alpha\beta+b\frac{{\beta}^2}{\alpha}$ is an Einstein Finsler metric, then $\alpha$ is an Einstein Riemann metric.},
keywords = {Finsler metric,$(\alpha,\beta)$-metric,Einstein manifold},
url = {https://ajmc.aut.ac.ir/article_3038.html},
eprint = {https://ajmc.aut.ac.ir/article_3038_ec3b89402c7338eacb774d68fb1a1cb0.pdf}
}