Orateur
Armin Schikorra
(U. Pittsburgh, États-Unis)
Description
The Heisenberg groups are examples of sub-Riemannian manifolds homeomorphic, but not diffeomorphic to the Euclidean space. Their metric is derived from curves which are only allowed to move in so-called horizontal directions.
When one considers approximation or extension problems for Sobolev maps into the Riemannian manifolds it is known that topological properties of the target manifold play a role. However, due to the homeomorphism, the topology of the Heisenberg group is the same as the Euclidean space. A notion of Hölder topology is needed. I will report on some progress (with Hajlasz) on some topological features of the Heisenberg group, in particular on an embedding question due to Gromov.
Auteur principal
Armin Schikorra
(U. Pittsburgh, États-Unis)
Co-auteur
Piotr Hajlasz
(U. Pittsburgh, États-Unis)
