ON THE CONSTRUCTION OF PSEUDO-FINSLER EIKONAL EQUATIONS

Cimdiker M., EKİCİ C.

HONAM MATHEMATICAL JOURNAL, cilt.42, sa.1, ss.75-91, 2020 (ESCI) identifier

  • 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.