$(\alpha,\beta)$-Metrics with killing $\beta$ of constant length

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+\al...

Full description

Bibliographic Details
Main Authors: Tayebeh Tabatabaeifar, Behzad Najafi
Format: Article
Language:English
Published: Amirkabir University of Technology 2020-02-01
Series:AUT Journal of Mathematics and Computing
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_3038_ec3b89402c7338eacb774d68fb1a1cb0.pdf