Ruprecht-Karls-Universität Heidelberg
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„On the local systolic optimality o Zoll contact forms“
Jun. Prof. Gabriele Benedetti, Mathematisches Institut, Universität Heidelberg

RTG Kolloquium "On the local systolic optimality of Zoll contact forms" Jun. Prof. Gabriele Benedetti Universität Heidelberg Abstract: The classical systolic inequality on a closed Riemannian manifold bounds the length of the shortest closed geodesic in terms of the total volume of the manifold. Since geodesic flows are examples of Reeb flows on contact manifolds, Álvarez-Paiva and Balacheff asked in 2014 if a contact systolic holds in this wider context. While this generalized inequality is now known to fail at a global level, we prove a sharp local version of it when the Reeb flow is close to yield a free circle action of the manifold. This is joint work with Alberto Abbondandolo. Dienstag, den 07. Januar 2020 um 13.30 Uhr, Konferenzraum 5.104, 5.OG, INF 205

Dienstag, den 7. Januar 2020 um 13:30 Uhr, in INF205, 5.104 Dienstag, den 7. Januar 2020 at 13:30, in INF205, 5.104

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Anna Wienhard, Prof. Dr. Peter Albers