Title of article :
Projectively Flat Finsler Spaces with Transformed Metrics
Author/Authors :
Shanker ، Gauree Department of Mathematics and Statistics - School of Basic Sciences - Central University of Punjab , Rani ، Sarita Department of Mathematics and Statistics - School of Basic Sciences - Central University of Punjab , Kaur ، Kirandeep Department of Mathematics and Statistics - School of Basic Sciences - Central University of Punjab
Abstract :
In this paper, we consider some special Finsler spaces obtained via Randers-β change. First, we find the fundamental metric tensor and Cartan tensor of these metrics. Next, we establish a general formula for the inverse tensor of fundamental metric tensors of these metrics. Finally, we find the necessary and sufficient conditions under which these metrics are projectively flat, and we give examples to support our results.
Keywords :
(α , β) , metric , Randers , β change , Fundamental metric tensor , Cartan tensor , Projective flatness
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
