论文标题
伪芬特勒歧管中灯光般的大地测量学的各向异性保形不变性
Anisotropic conformal invariance of lightlike geodesics in pseudo-Finsler manifolds
论文作者
论文摘要
在本文中,我们证明了使用Chern Connection和Chern Connection和GeoDesics,GeoDesics是能量功能和Jacobi Fields的关键,它的Index表现出来。该结果在Finsler空间的研究中有应用。
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.