Projectively Flat Finsler Spaces with Transformed Metrics

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Shanker Gauree; Rani Sarita; Kaur Kirandeep

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Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2023 | Volume:18 | Issue:2 Page(s): 31-50

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Information Journal Paper

Title

Projectively Flat Finsler Spaces with Transformed Metrics

Author(s)

Shanker Gauree | Rani Sarita | Kaur Kirandeep | Issue Writer Certificate

Keywords

(αQ4

β)-metricQ4

Randers-β changeQ4

Fundamental metric tensorQ4

Cartan tensorQ4

Projective flatnessQ4

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.

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