Holonomy of a class of bundles with fibre metrics

Details Holonomy of a class of bundles with fibre metrics Holonomy of a class of bundles with fibre metrics

2010-05-29

arxiv.org/abs/1005.5478v1

Mathematics

Differential Geometry

Scientific paper

This paper is concerned with the holonomy of a class of spaces which includes Landsberg spaces of Finsler geometry. The methods used are those of Lie groupoids and algebroids as developed by Mackenzie. We prove a version of the Ambrose-Singer Theorem for such spaces. The paper ends with a discussion of how the results may be extended to Finsler spaces and homogeneous nonlinear connections in general.

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