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arXiv · 0710.2816

A classification of some Finsler connections and their applications

B. Bidabad·A. Tayebi
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Abstract

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.

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B. Bidabad, A. Tayebi. 2007-10-15. A classification of some Finsler connections and their applications. https://arxiv.org/abs/0710.2816

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