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SUMMARY:Yuri Sachkov and Andrei Ardentov (Pereslavl)
DTSTART:20210129T150000Z
DTEND:20210129T160000Z
DTSTAMP:20260423T035628Z
UID:SRS/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SRS/9/">Sub-
 Riemannian geometry on the group of motions of the plane</a>\nby Yuri Sach
 kov and Andrei Ardentov (Pereslavl) as part of Sub-Riemannian Seminars\n\n
 \nAbstract\nWe 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).\nThe following questions will be address
 ed:\n- geodesics\,\n- their local and global optimality\,\n- cut time\, cu
 t locus\, and spheres\,\n- infinite geodesics\,\n- bicycle transform and r
 elation of geodesics with Euler elasticae\, \n- group of isometries and ho
 mogeneous geodesics\,\n- applications to imaging and robotics.\n
LOCATION:https://researchseminars.org/talk/SRS/9/
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