10.1007/s40096-018-0264-2

Generalization of Finsler metrics on the product of Finsler manifolds

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  • Akbar Sadighi1,
  • R. Chavosh Khatamy*2,
  • Megerdich Toomanian1,
  1. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IR
  2. Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, IR

Published in Issue 2018-10-13

How to Cite

Sadighi, A., Khatamy, R. C., & Toomanian, M. (2018). Generalization of Finsler metrics on the product of Finsler manifolds. Mathematical Sciences, 12(4 (December 2018). https://doi.org/10.1007/s40096-018-0264-2
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Abstract

Abstract In Riemannian manifolds, there exists a canonical Riemannian metric on the product of them (Lee in Riemannian geometry an introduction to curvature, Springer, New York, 1997 ). But at the product of Finsler manifolds, the canonical Finsler metric has not been defined. In this paper, we are going to study the product of Finsler manifolds and give a canonical Finsler metric on it.

Keywords

  • Product of Finsler manifolds,
  • Finsler manifolds,
  • Minkowski structure
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References

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