Distinguished Connections on Finsler Algebroids

Citation:

Esmaeil PEYGHAN,Aydin GEZER,Inci GULTEKIN.Distinguished Connections on Finsler Algebroids[J].Chinese Annals of Mathematics B,2021,42(1):41~68
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Authors:

Esmaeil PEYGHAN; Aydin GEZER;Inci GULTEKIN
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.

Keywords:

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

Classification:

53B40, 53B05
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