ON THE CONSTRUCTION OF PSEUDO-FINSLER EIKONAL EQUATIONS
HONAM MATHEMATICAL JOURNAL, cilt.42, sa.1, ss.75-91, 2020 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 42 Sayı: 1
- Basım Tarihi: 2020
- Doi Numarası: 10.5831/hmj.2020.42.1.75
- Dergi Adı: HONAM MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.75-91
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
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.