A classification of some Finsler connections and their applications

Details A classification of some Finsler connections and their applications A classification of some Finsler connections and their applications

2007-10-15

arxiv.org/abs/0710.2816v1

Publ. Math. Debrecen, vol. 71/3-4, 253-266 (2007)

Mathematics

Differential Geometry

14 pages and one table

Scientific paper

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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