Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Dr. Marius Müller
Albert-Ludwigs-Universität Freiburg und Universität Leipzig

spricht am
Montag, 3. Juli 2023
16 Uhr s.t.
2004/L1 und Zoom (hybride Veranstaltung)
über das Thema:

»Short closed geodesics and the Willmore energy«

In this talk we study the relation between two geometric quantities for smooth closed 2d-surfaces — the Willmore bending energy W and the minimal length of a closed geodesic ℓ.

It turns out that for surfaces having Willmore energy W less than 6π, ℓ is bounded below in terms of W.

The threshold of 6π is optimal for such a result — we will see surfaces above this threshold that have “geodesic bottlenecks”.

Our inequality can be proved very easily if one assumes that the shortest closed geodesic has no self-intersections. The discussion of this assumption leads to intriguing insights.

This is joint work with Fabian Rupp (Vienna) and Christian Scharrer (Bonn).

If you want to take part via Zoom please ask Prof. Frauenfelder for­ login details:


Hierzu ergeht herzliche Einladung.
Prof. Dr. Urs Frauenfelder

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

[Impressum]      [Datenschutz],     Di 6-Jun-2023 14:30:52 MESZ