A class of generalized symmetric Finsler spaces

Document Type : Research Paper

Author

Department of Pure Mathematics, Faculty of Mathematics, University of Isfahan, Isfahan

Abstract

In this article, we study such Finsler spaces equipped with an $(\alpha,\beta)$-metric $F=\alpha+\beta-\beta^2/\alpha$. After examining the relationship between the s-structure of the underlying Riemannian metric and the $s$-structure of the Finsler metric under discussion, we demonstrate that every generalized symmetric space equipped with such a metric is Riemannian of Kähler type.

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References

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Mathematics and Society
Volume 5, Issue 3 - Serial Number 3
September 2020
Pages 15-22

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History

  • Receive Date: 23 May 2021
  • Revise Date: 04 July 2021
  • Accept Date: 06 July 2021
  • Publish Date: 21 November 2020

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