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http://dx.doi.org/10.5831/HMJ.2020.42.1.75

ON THE CONSTRUCTION OF PSEUDO-FINSLER EIKONAL EQUATIONS  

Cimdiker, Muradiye (Department of Mathematics, Kirklareli University)
Ekici, Cumali (Department of Mathematics-Computer, Eskisehir Osmangazi University)
Publication Information
Honam Mathematical Journal / v.42, no.1, 2020 , pp. 75-91 More about this Journal
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.
Keywords
Pseudo-Finsler manifold; eikonal; affine map;
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Times Cited By KSCI : 1  (Citation Analysis)
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