Sharp systolic inequalities for Reeb flows

Jeudi 28 mai 2015 14:00-15:00 - Alberto Abbondandolo - Bochum

Résumé : The systolic ratio of a contact form on a closed 3-manifold can be defined as the ratio between the square of the minimal period of its closed Reeb orbits and the contact volume. I will discuss some results about upper bounds for the systolic ratio of tight contact forms on the 3-sphere, together with some of their consequences concerning middle-dimensional non-squeezing phenomena and systolic inequalities for Finsler metrics on the 2-sphere. This talk is based on some joint papers with B. Bramham, U. Hryniewicz and P. Salomão. ---- Café culturel à 13h par Marcelo Alves.

Lieu : bât. 425 - 121-123

Sharp systolic inequalities for Reeb flows  Version PDF