Tongzhu Li
Abstract
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We classify Willmore hypersurfaces of dimension n ≥ 3 in ޒ n+1 with two distinct principal curvatures under Möbius transformation group of ޒ n+1 .We also characterize conformally flat Willmore hypersurfaces in ޒ n+1 for n ≥ 4 in terms of the hyperelastic curves in two-dimensional real space forms.
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We classify Willmore hypersurfaces of dimension n ≥ 3 in ޒ n+1 with two distinct principal curvatures under Möbius transformation group of ޒ n+1 .We also characterize conformally flat Willmore hypersurfaces in ޒ n+1 for n ≥ 4 in terms of the hyperelastic curves in two-dimensional real space forms.
Key concepts: Mathematics, Principal curvature, Willmore energy, Principal (computer security), Pure mathematics, Mathematical analysis, Geometry, Curvature