Distinguished Connections on Finsler Algebroids
Esmaeil Peyghan , Aydin Gezer , Inci Gultekin
Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (1) : 41 -68.
Distinguished Connections on Finsler Algebroids
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.
Chern-Rund connection / Distinguished connections / Finsler algebroid / Hashiguchi connection / Lie algebroid
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