Семинары: D. Prandi, On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures

СЕМИНАРЫ


Геометрическая теория оптимального управления 14 апреля 2021 г. 16:45, г. Москва, Семинар проходит онлайн, в skype, https://join.skype.com/LMie1oQmGQy0

On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures D. Prandi
Аннотация: It is a longstanding problem in sub-Riemannian geometry whether length-minimizing curves are smooth. It is known that normal extremals are smooth, but the case of abnormal minimizers is still open. We present an improvement of the existing partial results that guarantees the $C^1$ regularity for a class of abnormal length-minimizers in rank 2 sub-Riemannian structures. As a consequence of such a result, all length-minimizers for rank 2 sub-Riemannian structures of step up to 4 are of class $C^1$. This is a joint work with Davide Barilari, Yacine Chitour, Frédéric Jean and Mario Sigalotti. Website: https://kafedra-opu.ru/node/623#overlay-context=node/623