Projectively Flat Finsler Space with A \(r\)-th Series \((\alpha,\beta)\)-Metric

Authors

  • Aveesh S.T. Department of Mathematics, Alva's Institute of Engineering and Technology, Shobavana Campus, Mijar, Moodbidri, Dakshina Kannada-574225, Karnataka
  • S.K. Narasimhamurthy Department of PG Studies and research in Mathematics, Kuvempu University, Shankaraghatta, Shimoga, Karnataka
  • G. Ramesh Department of Mathematics, SDM Institute of Technology, Ujire, Vishvesarya Technological University, Belagavi, Karnataka

DOI:

https://doi.org/10.26713/jims.v7i3.295

Keywords:

Finsler space, $r$-th series $(\alpha, \beta)$-metric, Projectively flat

Abstract

The \((\alpha,\beta)\)-metric is a Finsler metric which is constructed from a Riemannian metric and a differential 1-form \(\beta\), it has been sometimes treated In theoretical physics. The condition for a Finsler space with an \((\alpha,\beta)\)-metric \(L(\alpha,\beta)\) to be projectively flat was given by matsumoto. The present paper, We discuss the \(r\)-th series \((\alpha, \beta)\)-metric to be projectively flat on the basis of Matsumoto's results.

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References

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Published

2015-12-30
CITATION

How to Cite

S.T., A., Narasimhamurthy, S., & Ramesh, G. (2015). Projectively Flat Finsler Space with A \(r\)-th Series \((\alpha,\beta)\)-Metric. Journal of Informatics and Mathematical Sciences, 7(3), 173–183. https://doi.org/10.26713/jims.v7i3.295

Issue

Vol. 7 No. 3 (2015)

Section

Research Articles

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