Abstract.
We will discuss the unique, up to local isometries, contact sub-Riemannian structure on the group SE(2) of proper motions of the plane (aka group of rototranslations). The following questions will be addressed:
— geodesics,
— their local and global optimality,
— cut time, cut locus, and spheres,
— infinite geodesics,
— bicycle transform and relation of geodesics with Euler elasticae,
— group of isometries and homogeneous geodesics,
— applications to imaging and robotics.

Автор: Yu. Sachkov, A. Ardentov

Дата: 29th January, 2021

Время: 18:00

Место:

Zoom

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