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SUMMARY:Yuri Sachkov and Andrei Ardentov (Pereslavl)
DTSTART:20210129T150000Z
DTEND:20210129T160000Z
DTSTAMP:20260404T143359Z
UID:SRS/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/SRS/9
 /">Sub-Riemannian geometry on the group of motions of the plane</a>\nby Yu
 ri Sachkov and Andrei Ardentov (Pereslavl) as part of Sub-Riemannian Semin
 ars\n\n\nAbstract\nWe will discuss the unique\, up to local isometries\, c
 ontact sub-Riemannian structure on the group SE(2) of proper motions of th
 e plane (aka group of rototranslations).\nThe following questions will be 
 addressed:\n- geodesics\,\n- their local and global optimality\,\n- cut ti
 me\, cut locus\, and spheres\,\n- infinite geodesics\,\n- bicycle transfor
 m and relation of geodesics with Euler elasticae\, \n- group of isometries
  and homogeneous geodesics\,\n- applications to imaging and robotics.\n
LOCATION:https://stable.researchseminars.org/talk/SRS/9/
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