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arXiv · 1401.8149

Geodesics and Jacobi fields of pseudo-Finsler manifolds

Miguel Angel Javaloyes·Bruno Learth Soares
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Abstract

In this paper, we derive the first and the second variation of the energy functional for a pseudo-Finsler metric using the family of affine connections associated to the Chern connection. This opens the possibility to accomplish computations with coordinate-free methods. Using the second variation formula, we introduce the index form and present some properties of Jacobi fields.

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Miguel Angel Javaloyes, Bruno Learth Soares. 2014-01-31. Geodesics and Jacobi fields of pseudo-Finsler manifolds. https://arxiv.org/abs/1401.8149

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