@article {
author = {Masoumi, Saeedeh and Rezaei, Bahman and Gabrani, Mehran},
title = {On a special class of dually flat (α, β)-metrics},
journal = {Journal of Finsler Geometry and its Applications},
volume = {3},
number = {1},
pages = {141-154},
year = {2022},
publisher = {University of Mohaghegh Ardabili},
issn = {2783-0500},
eissn = {2783-0500},
doi = {10.22098/jfga.2022.10850.1066},
abstract = {In this paper, we first study a special class of (α,β)-metrics in the form F = α + εβ + k β2/α , where α is Riemannian metric, β is a 1-form, and ε,k(≠ 0) are constant. We give a complete classification for such metrics to be locally dually flat. By assumption β is a conformal 1-form, we show that the metric is locally dually flat if and only if α is a Euclidean metric and β is a constant 1-form. Further, we classify locally dually flat of a class of Finsler metric in the form F = α exp( α/β ) + εβ, where ε is constant.},
keywords = {Finsler metric,(α,β)- metric,locally dually flat},
url = {https://jfga.uma.ac.ir/article_1738.html},
eprint = {https://jfga.uma.ac.ir/article_1738_37921fee9fc164d785ddb369281fe62d.pdf}
}