SPP 2026 Geometry at infinity, Teilprojekt "Willmore functional and Lagrangian surfaces"

In this project, we will consider the Willmore functional for surfaces in C2=R4 under a Lagrange constraint. This is initiated by Minicozzi (1993) who proved the existence of smooth minimzers of the Willmore functional among closed Lagrangian tori in C2 and posed the conjecture that the Clifford torus, which is a Lagrangian torus in C2, minimizes the Willmore energy among Lagrangian tori. Clearly, the n=4 Willmore conjecture implies the Lagrangian Willmore conjecture, which is also open. The objective of this project is to establish analytical tools to study the Willmore functional along Lagrangian surfaces.

Projektbeginn: 01.08.2017
Projektende: 31.07.2021

Ernst Kuwert, Guofang Wang

https://www.spp2026.de/

Abteilung für Reine Mathematik
Prof. Dr. Ernst Kuwert
Ernst-Zermelo-Straße 1
79104 Freiburg

Telefon: +49 (0) 761 203-5585
Fax: +49 (0) 761 203-5541
Email: ernst.kuwert@math.uni-freiburg.de
http://home.mathematik.uni-freiburg.de/kuwert/

• DFG