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A Riemannian approach to Randers geodesics

Brody, Dorje C., Gibbons, Gary W. and Meier, David M. (2016) A Riemannian approach to Randers geodesics Journal of Geometry and Physics, 106. pp. 98-101.

1507.08185.pdf - Accepted version Manuscript

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In certain circumstances tools of Riemannian geometry are sufficient to address questions arising in the more general Finslerian context. We show that one such instance presents itself in the characterisation of geodesics in Randers spaces of constant flag curvature. To achieve a simple, Riemannian derivation of this special family of curves, we exploit the connection between Randers spaces and the Zermelo problem of time-optimal navigation in the presence of background fields. The characterisation of geodesics is then proven by generalising an intuitive argument developed recently for the solution of the quantum Zermelo problem.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Brody, Dorje
Gibbons, Gary W.
Meier, David M.
Date : August 2016
DOI : 10.1016/j.geomphys.2016.03.019
Copyright Disclaimer : © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Depositing User : Claudio Svaluto
Date Deposited : 11 Oct 2018 09:05
Last Modified : 11 Oct 2018 09:05

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