中俄数学研究生讨论班——Sub-Riemannian and sub-Finsler geometry: definition and search for shortest paths in some problems
报告人:Evgenii Ladeishchikov (Steklov Mathematical Institute of RAS)
时间:2026-05-22 17:00-18:00
地点:智华楼四元厅
Abstract: Sub-Riemannian and sub-Finsler geometry is a natural generalization of Riemannian geometry to the case where a Riemannian metric is defined, generally speaking, not on the entire tangent space at each point, but on some subspace. The talk will give the definition of sub-Riemannian and sub-Finsler distance between points on a smooth manifold. Known methods for finding shortest paths to compute this distance will be discussed, and examples will be considered.