On the Projectively Flat of an (α, β)- Metric of Finsler Space | Chapter 43 | Innovative Solutions: A Systematic Approach towards Sustainable Future

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.

Author (s) Details

 

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.

 

Please see the book here:- https://doi.org/10.9734/bpi/mono/978-93-49238-47-3/CH43