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SUMMARY:Soliton solutions for the elastic metric on spaces of curves - Pet
 er Michor (Universität Wien)
DTSTART:20171214T090000Z
DTEND:20171214T100000Z
UID:TALK96625@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Joint work with: Martin Bauer (Florida State University)\, Mar
 tins Bruveris (Brunel University London)\, Philipp Harms (University of Fr
 eiburg).  Abstract: Some first order Sobolev metrics on spaces of curves a
 dmit soliton-like geodesics\, i.e.\, geodesics whose momenta are sums of d
 elta distributions. It turns out that these geodesics can be found within 
 the submanifold of piecewise linear curves\, which is totally geodesic for
  these metrics. Consequently\, the geodesic equation reduces to a finite-d
 imensional ordinary differential equation for a dense set of initial condi
 tions.
LOCATION:Seminar Room 1\, Newton Institute
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