Volume 18, Issue 2 (10-2023)
IJMSI 2023, 18(2): 31-50 |
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Shanker G, Rani S, Kaur K. Projectively Flat Finsler Spaces with Transformed Metrics. IJMSI 2023; 18 (2) :31-50
URL: http://ijmsi.ir/article-1-1554-en.html
URL: http://ijmsi.ir/article-1-1554-en.html
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.
Type of Study: Research paper |
Subject:
General
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