Embeddings and non-embeddings of the subRiemannian Heisenberg group: old and new results

Martedi' 15 febbraio 2011 - Enrico Le Donne

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Martedi' 15 febbraio 2011 alle ore 14:30 in aula 1BC45 Enrico Le Donne (ETH, Zurigo) terra' un seminario dal titolo "Embeddings and non-embeddings of the subRiemannian Heisenberg group: old and new results".

-Abstract
This talk addresses the embedding problem for a particular example: the Heisenberg group equipped with the Carnot-Caratheodory distance. Such a metric space will be introduced and some of its properties will be mentioned. There will be a summary of previous results: existence or non-existence of embeddings for some classes of maps and some targets. Then some new results will be presented, e.g., the subRiemannian Heisenberg group can be embedded into R4 preserving the length of all the curves.

Rif. int. M. Bardi, C. Marchi, R. Monti