TY - JOUR
ID - 1367
TI - A new non-Riemannian curvature related to the class of (α, β)-metrics
JO - Journal of Finsler Geometry and its Applications
JA - JFGA
LA - en
SN -
AU - Haji-Badali, Ali
AU - Majidi, Jila
AD - Department of Mathematics, Basic Sciences Faculty
University of Bonab, Bonab 5551395133, Iran.
haji.badali@ubonab.ac.ir
AD - Department of Mathematics, Basic Sciences Faculty
University of Bonab, Bonab 5551395133, Iran. majidi.majidi.2020@gmail.com
Y1 - 2021
PY - 2021
VL - 2
IS - 2
SP - 43
EP - 53
KW - Hopf maximum principle
KW - Elliptic operator
KW - (α, β)-metrics
KW - S-curvature
DO - 10.22098/jfga.2021.1367
N2 - In this paper, we find a new non-Riemannian quantity for (α, β)-metrics that is closely related to the S-curvature. We call it the S˜-curvature. Then, we show that an (α, β)-metric is Riemannian if and only if S˜=0. For a Randers metric, we find the relation between S-curvature and S∼-curvature.
UR - https://jfga.uma.ac.ir/article_1367.html
L1 - https://jfga.uma.ac.ir/article_1367_3fdf77d736de3095a1b3fa304588b54d.pdf
ER -