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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

  • 主讲人:Evgenii Ladeishchikov (Steklov Mathematical Institute of RAS)
  • 时间: 2026-05-22 17:00 - 2026-05-22 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.

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