ON CONFORMAL TRANSFORMATION OF SOME NON-RIEMANNIAN CURVATURES IN FINSLER GEOMETRY

Document Type : Original Article

Authors
Akbar Tayebi
Faezeh Eslami
Department of Mathematics, Faculty of Science. University of Qom. Qom. Iran
10.22034/maco.3.2.4
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

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Mathematical Analysis and Convex Optimization
Volume 3, Issue 2
December 2022
Pages 25-34