Distinguished Connections on Finsler Algebroids


Peyghan E., Gezer A., Gültekin İ.

CHINESE ANNALS OF MATHEMATICS SERIES B, vol.42, no.1, pp.41-68, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1007/s11401-021-0244-y
  • Journal Name: CHINESE ANNALS OF MATHEMATICS SERIES B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.41-68
  • Keywords: Chern-Rund connection, Distinguished connections, Finsler algebroid, Hashiguchi connection, Lie algebroid
  • Ataturk University Affiliated: Yes

Abstract

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.