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Distinguished Connections on Finsler Algebroids |
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| Authors: | Esmaeil PEYGHAN Aydin GEZER Inci GULTEKIN |
| Institution: | Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.;Corresponding author. Ataturk University, Faculty of Science, Department of Mathematics, 25240,Erzurum, Turkey.; Ataturk University, Faculty of Science, Department of Mathematics, 25240, Erzurum, Turkey. |
| 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 |
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