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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
37/2012

Constrained Willmore equation for disks with positive Gauss curvature

Peter Hornung

Abstract

Let S be a bounded simply connected two-dimensional domain and let g be a Riemannian on S with positive Gauss curvature. We study the restriction of the Willmore functional to the class of isometric immersions of the manifold (S, g) into three-dimensional Euclidean space, and we derive Euler-Lagrange equations for its critical points.

Received:
Jul 3, 2012
Published:
Jul 6, 2012

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Preprint
2012 Repository Open Access
Peter Hornung

Constrained Willmore equation for disks with positive Gauss curvature