Distinguished Connections on Finsler Algebroids

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.

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Correspondence to Aydin Gezer.

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Peyghan, E., Gezer, A. & Gultekin, I. Distinguished Connections on Finsler Algebroids. Chin. Ann. Math. Ser. B 42, 41–68 (2021). https://doi.org/10.1007/s11401-021-0244-y

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Keywords

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

2000 MR Subject Classification

  • 53B40
  • 53B05