Projectively Flat Finsler Spaces with Transformed Metrics

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:18 Issue: 2, Nov 2023
Pages:
31 to 50
https://www.magiran.com/p2630317