Homogeneous nonlinear splittings and Finsler submersions

S. Hajdu; T. Mestdag

doi:10.1016/j.difgeo.2023.102049

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arXiv · 2111.04411

Homogeneous nonlinear splittings and Finsler submersions

S. Hajdu·T. Mestdag

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Abstract

A nonlinear splitting on a fibre bundle is a generalization of an Ehresmann connection. An example is given by the homogeneous nonlinear splitting of a Finsler function on the total manifold of a fibre bundle. We show how homogeneous nonlinear splittings and nonlinear lifts can be used to construct submersions between Euclidean, Minkowski and Finsler spaces. As an application we consider a semisimple Lie algebra and use our methods to give new examples of Finsler functions on a reductive homogeneous space.

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BibTeX RIS

S. Hajdu, T. Mestdag. 2021-11-08. Homogeneous nonlinear splittings and Finsler submersions. https://doi.org/10.1016/j.difgeo.2023.102049

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