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SUMMARY:Topologie de Hölder sur le groupe de Heisenberg/Hölder Topology
of the Heisenberg group
DTSTART;VALUE=DATE-TIME:20180426T070000Z
DTEND;VALUE=DATE-TIME:20180426T080000Z
DTSTAMP;VALUE=DATE-TIME:20191214T235659Z
UID:indico-contribution-1812@indico.math.cnrs.fr
DESCRIPTION:Speakers: Armin Schikorra (U. Pittsburgh\, États-Unis)\nThe H
eisenberg groups are examples of sub-Riemannian manifolds homeomorphic\, b
ut not diffeomorphic to the Euclidean space. Their metric is derived from
curves which are only allowed to move in so-called horizontal directions.\
nWhen one considers approximation or extension problems for Sobolev maps i
nto the Riemannian manifolds it is known that topological properties of th
e target manifold play a role. However\, due to the homeomorphism\, the to
pology of the Heisenberg group is the same as the Euclidean space. A notio
n of Hölder topology is needed. I will report on some progress (with Hajl
asz) on some topological features of the Heisenberg group\, in particular
on an embedding question due to Gromov.\n\nhttps://indico.math.cnrs.fr/eve
nt/3052/contributions/1812/
LOCATION:
URL:https://indico.math.cnrs.fr/event/3052/contributions/1812/
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