Seminar talk, 14 April 2021: Difference between revisions
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| title = Sub-Riemannian geometry on the group of motions of the plane | | title = Sub-Riemannian geometry on the group of motions of the plane | ||
| abstract = We will discuss the unique, up to local isometries, contact sub-Riemannian struc | | abstract = We will discuss the unique, up to local isometries, contact sub-Riemannian struc | ||
ture on the group SE(2) of proper motions of the plane (aka group of rototransla | ture on the group '''SE'''(2) of proper motions of the plane (aka group of rototransla | ||
tions). | tions). | ||
The following questions will be addressed: | The following questions will be addressed: | ||
Revision as of 21:08, 28 February 2021
Speaker: Yuri Sachkov
Title: Sub-Riemannian geometry on the group of motions of the plane
Abstract:
We will discuss the unique, up to local isometries, contact sub-Riemannian struc
ture on the group SE(2) of proper motions of the plane (aka group of rototransla
tions).
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.
Joint work with Andrei Ardentov.
Language: English