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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