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PRODID:-//Memento EPFL//
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SUMMARY:Finslerian geometry in low regularity
DTSTART:20191118T161500
DTEND:20191118T173000
DTSTAMP:20260407T103215Z
UID:ecc9725c82367861172d7ff26e80883fb627a45e460fd56d701f53b6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Guillaume Buro (EPFL)\nA classical result from  1941 by H. Bu
 semann and W. Mayer  states that a Finslerian structure on a variety is d
 etermined by the associated distance function.  Unfortunately\, Busemann-
 Mayer's original article is difficult to read and the proof never seems to
  have been the subject of a more modern and/or more pedagogical reformulat
 ion. The aim of this presentation will be to revisit Busemann-Mayer's theo
 rem and to  relate it to contemporary research in metric and Finslerian g
 eometry of low regularity. In particular\, we will prove that the convexif
 ication of a semi-continuous pre-Finslerian metric induces the same distan
 ce as the pre-Finslerian metric itself. We will also show  some results o
 n the metric derivative and the regularity of the minimizing curves for a 
 Finslerian metric of low regularity.\n\n 
LOCATION:MA B1 524.
STATUS:CONFIRMED
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