%0 Journal Article
%T On a special class of dually flat (α, β)-metrics
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Masoumi, Saeedeh
%A Rezaei, Bahman
%A Gabrani, Mehran
%D 2022
%\ 07/01/2022
%V 3
%N 1
%P 141-154
%! On a special class of dually flat (α, β)-metrics
%K Finsler metric
%K (α
%K β)- metric
%K locally dually flat
%R 10.22098/jfga.2022.10850.1066
%X 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.
%U https://jfga.uma.ac.ir/article_1738_37921fee9fc164d785ddb369281fe62d.pdf