Geodesics and Jacobi fields of pseudo-Finsler manifolds
MA Javaloyes, BL Soares - arXiv preprint arXiv:1401.8149, 2014 - arxiv.org
MA Javaloyes, BL Soares
arXiv preprint arXiv:1401.8149, 2014•arxiv.orgIn 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.
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.
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.
arxiv.org
以上显示的是最相近的搜索结果。 查看全部搜索结果