TY - JOUR
ID - 1738
TI - On a special class of dually flat (α, β)-metrics
JO - Journal of Finsler Geometry and its Applications
JA - JFGA
LA - en
SN -
AU - Masoumi, Saeedeh
AU - Rezaei, Bahman
AU - Gabrani, Mehran
AD - Department of Mathematics, Faculty of Science, Urmia University
Urmia, Iran.
Y1 - 2022
PY - 2022
VL - 3
IS - 1
SP - 141
EP - 154
KW - Finsler metric
KW - (α
KW - β)- metric
KW - locally dually flat
DO - 10.22098/jfga.2022.10850.1066
N2 - 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.
UR - https://jfga.uma.ac.ir/article_1738.html
L1 - https://jfga.uma.ac.ir/article_1738_37921fee9fc164d785ddb369281fe62d.pdf
ER -