On the Projectively Flat of an (\(\alpha\), \(\beta\))- Metric of Finsler Space

Authors

  • Surekha Desai Department of Mathematics, Sapthagiri NPS University, School of Engineering and Technology, Bengaluru, India.
  • Narasimhamurthy S K Department of Mathematics, Kuvempu University, Shivamogga, India.
  • Raghavendra R S Department of Mathematics, Presidency University, Bengaluru, India.

DOI:

https://doi.org/10.9734/bpi/mono/978-93-49238-47-3/CH43

Keywords:

Finsler space, (\(\alpha\), \(\beta\))-metric, projective flatness, locally Minkowski space, associated Riemannian space

Abstract

The (\(\alpha\), \(\beta\))-metric is a Finsler metric which is constructed from a Riemannian metric \(\alpha\) and a differential 1-form \(\beta\). We consider the projective flatness of Finsler spaces with some (\(\alpha\), \(\beta\))-metrics. The purpose of the present paper is to find the condition for a Finsler space with metric F=\(\alpha\)+\(\sqrt{\alpha^2+\beta^2}\) to be projectively flat.

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Published

2025-02-10

How to Cite

Surekha Desai, Narasimhamurthy S K, & Raghavendra R S. (2025). On the Projectively Flat of an (\(\alpha\), \(\beta\))- Metric of Finsler Space. Innovative Solutions: A Systematic Approach Towards Sustainable Future, Edition 1, 428–434. https://doi.org/10.9734/bpi/mono/978-93-49238-47-3/CH43

Issue

Innovative Solutions: A Systematic Approach Towards Sustainable Future, Edition 1

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