Distinguished Connections on Finsler Algebroids

Peyghan, Esmaeil; Gezer, Aydın; Gültekin, İnci

doi:10.1007/s11401-021-0244-y

Makale Tam Makale Uluslararası 2021

Distinguished Connections on Finsler Algebroids

Esmaeil Peyghan, Aydın Gezer, İnci Gültekin

CHINESE ANNALS OF MATHEMATICS SERIES B Cilt 42 · Sayı 1 · ss. 41–68 · 01.01.2021

DOI ile aç

Özet

Considering the prolongation of a Lie algebroid, the authors introduce Finsler algebroids and present important geometric objects on these spaces. Important endomorphisms like conservative and Barthel, Cartan tensor and some distinguished connections like Berwald, Cartan, Chern-Rund and Hashiguchi are introduced and studied.

Anahtar kelimeler

Chern-Rund connection Distinguished connections Finsler algebroid Hashiguchi connection Lie algebroid

Atıf için künye

Peyghan, E., Gezer, A., & Gültekin, İ. (2021). Distinguished Connections on Finsler Algebroids. CHINESE ANNALS OF MATHEMATICS SERIES B, 42(1), 41–68. https://doi.org/10.1007/s11401-021-0244-y

BibTeX

@article{peyghan2021-73477,
  author = {Peyghan, Esmaeil and Gezer, Aydın and Gültekin, İnci},
  title = {Distinguished Connections on Finsler Algebroids},
  journal = {CHINESE ANNALS OF MATHEMATICS SERIES B},
  year = {2021},
  volume = {42},
  number = {1},
  pages = {41--68},
  issn = {0252-9599},
  doi = {10.1007/s11401-021-0244-y},
  url = {https://akademik.atauni.edu.tr/yayinlar/73477-distinguished-connections-on-finsler-algebroids}
}