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On two-dimensional immersions that are stable for parametric functionals of constant mean curvature type
Authors:Steffen Fröhlich
Institution:Technische Universität Darmstadt, FB Mathematik, AG 3 Schloßgartenstraße 7, D-64289 Darmstadt, Germany
Abstract:We consider two-dimensional immersions in Euclidean 3-space that are stable for parametric functionals of constant mean curvature type. We develop analytical and geometric concepts to give a perturbation result to estimate the principle curvatures of such mappings via uniformization.
Keywords:53A10  53C42
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