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SUMMARY:The injectivity radius of Lie manifolds
DTSTART;VALUE=DATE-TIME:20171107T170000Z
DTEND;VALUE=DATE-TIME:20171107T175000Z
DTSTAMP;VALUE=DATE-TIME:20200919T123857Z
UID:indico-contribution-1271@indico.math.cnrs.fr
DESCRIPTION:Speakers: Paolo Antonini ()\nLie manifolds were introduced by
Ammann\, Lauter and Nistor. These are a large class of noncompact complete
(Riemannian) manifolds well behaved for the study of index theory on nonc
ompact spaces. Their geometric structure is described by a Lie algebra of
vector fields on a suitable compactification with corners. Equivalently by
a Lie algebroid over the compactification.In this talk we will present th
e main geometrical features of Lie manifolds. In particular we will explai
n how the theory of connections and their associated geodesic flow on Lie
algebroids leads to the proof that every Lie manifold has uniformly positi
ve injectivity radius\, a result recently obtained in collaboration with G
. De Philippis and N. Gigli.\n\nhttps://indico.math.cnrs.fr/event/2298/con
tributions/1271/
LOCATION:Saint Flour HÃ´tel des Planchettes
URL:https://indico.math.cnrs.fr/event/2298/contributions/1271/
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