Sachkov Yu. Sub-Riemannian geometry on the group of motions of the plane (abstract)
Speaker: Yuri Sachkov
Title: Sub-Riemannian geometry on the group of motions of the plane
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,
- 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.