The Journal of the Indian Mathematical Society

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Projective Change between Matsumoto Metric and Generalized Kropina Metric


Affiliations
1 Department of Mathematics and Statistics, Banasthali Vidyapith, Jaipur - 304022, India
     

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In the present paper, we find the conditions to characterize the projective change between Finsler spaces with (α, β)-metrics such as Matsumoto metric and generalized Kropina metric on a manifold with dimension n > 2. Moreover, we consider this Projective change when Matsumoto metric has some special curvature properties.

Keywords

Finsler Metric, (α, β)-Metric, Projective Change, Douglas Metric and S-Curvature.
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  • Projective Change between Matsumoto Metric and Generalized Kropina Metric

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Authors

Renu
Department of Mathematics and Statistics, Banasthali Vidyapith, Jaipur - 304022, India
Ramdayal Singh Kushwaha
Department of Mathematics and Statistics, Banasthali Vidyapith, Jaipur - 304022, India

Abstract


In the present paper, we find the conditions to characterize the projective change between Finsler spaces with (α, β)-metrics such as Matsumoto metric and generalized Kropina metric on a manifold with dimension n > 2. Moreover, we consider this Projective change when Matsumoto metric has some special curvature properties.

Keywords


Finsler Metric, (α, β)-Metric, Projective Change, Douglas Metric and S-Curvature.

References





DOI: https://doi.org/10.18311/jims%2F2023%2F29104