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Displaying similar documents to “The First Eigenvalue of the Laplacian of an Isoparametric Minimal Hypersurface in a Unit Sphere.”

On minimal homothetical hypersurfaces

Lin Jiu, Huafei Sun (2007)

Colloquium Mathematicae

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We give a classification of minimal homothetical hypersurfaces in an (n+1)-dimensional Euclidean space. In fact, when n ≥ 3, a minimal homothetical hypersurface is a hyperplane, a quadratic cone, a cylinder on a quadratic cone or a cylinder on a helicoid.