Members & Guests

Dr. Lynn Heller

Project leader


Leibniz-Universität Hannover

E-mail: lynn.heller(at)math.uni-hannover.de
Telephone: +49 0511 762 3897
Homepage: http://service.ifam.uni-hannover.de/~geo…

Project

16Minimizer of the Willmore energy with prescribed rectangular conformal class

Publications within SPP2026

Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces ξm,k of high genus by deforming the corresponding DPW potential. As a byproduct, we obtain for fixed m estimates on the area of ξm,k in terms of their genus g=mk≫1.

 

Related project(s):
16Minimizer of the Willmore energy with prescribed rectangular conformal class

We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below 8π. In particular, every constrained Willmore torus with Willmore energy below 8π and non-rectangular conformal class is non-degenerated.

 

Related project(s):
16Minimizer of the Willmore energy with prescribed rectangular conformal class

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