ON THE CONSTRUCTION OF PSEUDO-FINSLER EIKONAL EQUATIONS
HONAM MATHEMATICAL JOURNAL, vol.42, no.1, pp.75-91, 2020 (ESCI)
- Publication Type: Article / Article
- Volume: 42 Issue: 1
- Publication Date: 2020
- Doi Number: 10.5831/hmj.2020.42.1.75
- Journal Name: HONAM MATHEMATICAL JOURNAL
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.75-91
- Eskisehir Osmangazi University Affiliated: Yes
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.