arXiv subjects

Bruno Learth Soares

Publications and source records attributed to Bruno Learth Soares.

2 recordsLinked to original sources

arXiv2020

Anisotropic conformal invariance of lightlike geodesics in pseudo-Finsler manifolds

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.

math.DG↗

arXiv2015

Geodesics and Jacobi fields of pseudo-Finsler manifolds

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.

math.DG↗