Title of article :
ON CONFORMAL TRANSFORMATION OF SOME NON-RIEMANNIAN CURVATURES IN FINSLER GEOMETRY
Author/Authors :
Tayebi ، Akbar Department of Mathematics - Faculty of Science - University of Qom , Eslami ، Faezeh Department of Mathematics - Faculty of Science - University of Qom
Abstract :
In this paper, we study the conformal transformation of some important and effective non-Riemannian curvatures in Finsler Geometry. We find the necessary and sufficient condition under which the conformal transformation preserves the Berwald curvature B, mean Berwald curvature E, Landsberg curvature L, mean Landsberg curvature J, and the non-Riemannian curvature H.
Keywords :
Berwald curvature , mean Berwald curvature , Landsberg curvature , mean Landsberg curvature , the quantity H.
Journal title :
Mathematical Analysis and Convex Optimization
Journal title :
Mathematical Analysis and Convex Optimization