Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON THE CONSTRUCTION OF PSEUDO-FINSLER EIKONAL EQUATIONS

  • Cimdiker, Muradiye (Department of Mathematics, Kirklareli University) ;
  • Ekici, Cumali (Department of Mathematics-Computer, Eskisehir Osmangazi University)
  • Received : 2019.04.02
  • Accepted : 2019.05.16
  • Published : 2020.03.25
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Abstract

In this study, we have generalized pseudo-Finsler map by introducing the concept of semi-Riemannian map and have found pseudo-Finsler eikonal equations using pseudo-Finsler map. After that, we have obtained some sufficient theorems on pseudo-Finsler manifolds for the existence of solutions to the eikonal equation. At the same time, we have introduced a natural definition for the affine maps between pseudo-Finsler manifolds and have reached the affine solutions of them.

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References

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