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arXiv · 1710.01281

Zermelo deformation of Finsler metrics by Killing vector fields

Patrick Foulon·Vladimir S. Matveev
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Abstract

We show how geodesics, Jacobi vector fields and flag curvature of a Finsler metric behave under Zermelo deformation with respect to a Killing vector field. We also show that Zermelo deformation with respect to a Killing vector field of a locally symmetric Finsler metric is also locally symmetric.

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BibTeXRIS

Patrick Foulon, Vladimir S. Matveev. 2017-10-03. Zermelo deformation of Finsler metrics by Killing vector fields. https://doi.org/10.3934/era.2018.25.001

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