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arXiv · 2006.14959

Anisotropic conformal invariance of lightlike geodesics in pseudo-Finsler manifolds

Miguel Angel Javaloyes·Bruno Learth Soares
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Abstract

In this paper, we prove that lightlike geodesics of a pseudo-Finsler manifold and its focal points are preserved up to reparametrization by anisotropic conformal changes, using the Chern connection and the anisotropic calculus and the fact that geodesics are critical points of the energy functional and Jacobi fields, the kernel of its index form. This result has applications to the study of Finsler spacetimes.

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Miguel Angel Javaloyes, Bruno Learth Soares. 2020-06-25. Anisotropic conformal invariance of lightlike geodesics in pseudo-Finsler manifolds. https://doi.org/10.1088/1361-6382%2Fabc225

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