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arXiv · 2601.01486

Natural parallel translation and connection associated to navigation data

Asma Mezrag·Zoltan Muzsnay·Csaba Vincze
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Abstract

In this paper, we consider the geometric setting of navigation data and introduce a natural parallel translation using the Riemannian parallelism. The geometry obtained in this way has some nice and natural features: the natural parallel translation is homogeneous (but in general nonlinear), preserves the Randers type Finslerian norm constituted by the navigation data, and the holonomy group is finite-dimensional.

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Asma Mezrag, Zoltan Muzsnay, Csaba Vincze. 2026-01-04. Natural parallel translation and connection associated to navigation data. https://arxiv.org/abs/2601.01486

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