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arxiv: 0709.2023 · v1 · submitted 2007-09-13 · 🧮 math.DG

Biharmonic Hypersurfaces in 4-Dimensional Space Forms

classification 🧮 math.DG
keywords biharmonicformshypersurfacesspacedimensionalproperclassificationcurvatures
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We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces in 4-dimensional space forms.

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