Distinguished Connections on Finsler Algebroids

Peyghan E., Gezer A., Gültekin İ.

CHINESE ANNALS OF MATHEMATICS SERIES B, cilt.42, sa.1, ss.41-68, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s11401-021-0244-y
  • Dergi Adı: CHINESE ANNALS OF MATHEMATICS SERIES B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.41-68
  • Anahtar Kelimeler: Chern-Rund connection, Distinguished connections, Finsler algebroid, Hashiguchi connection, Lie algebroid
  • Atatürk Üniversitesi Adresli: Evet

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.