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.

中文翻译：

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拟芬斯勒流形中类光测地线的各向异性保角不变性

在本文中，我们证明了伪芬斯勒流形的类光测地线及其焦点在通过各向异性保角变化重新参数化之前，使用陈连接和各向异性演算以及测地线是能量泛函和Jacobi 字段，其索引形式的核心。这一结果可应用于芬斯勒时空的研究。