Sachkov Yu. Sub-Riemannian geometry on the group of motions of the plane (abstract)

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Speaker: Yuri Sachkov

Title: Sub-Riemannian geometry on the group of motions of the plane

Abstract:
We will discuss old and new results on the standard left-invariant sub-Riemannian structure on the group of motions of the plane:

  • Sub-Riemannian geodesics and minimizers,
  • Cut locus,
  • Spheres,
  • Metric lines,
  • Isometries, homogeneous and equioptimal geodesics,
  • Applications to robotics and vision.


Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.