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arXiv:0710.2816 [math.DG]AbstractReferencesReviewsResources

A classification of some Finsler connections and their applications

B. Bidabad, A. Tayebi

Published 2007-10-15Version 1

Some general Finsler connections are defined. Emphasis is being made on the Cartan tensor and its derivatives. Vanishing of the hv-curvature tensors of these connections characterizes Landsbergian, Berwaldian as well as Riemannian structures. This view point makes it possible to give a smart representation of connection theory in Finsler geometry and yields to a classification of Finsler connections. Some practical applications of these connections are also considered.

Comments: 14 pages and one table
Journal: Publ. Math. Debrecen, vol. 71/3-4, 253-266 (2007)
Categories: math.DG
Subjects: 53B40, 53C60
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