On minimal homothetical hypersurfaces

• Autorzy: Lin Jiu , Huafei Sun
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53C42: Immersions (minimal, prescribed curvature, tight, etc.)
• 53A15: Affine differential geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 109
• Numer: 2
• Strony: 239-249

Daty

wydano

2007

Twórcy

autor

Lin Jiu

• Department of Mathematics, Beijing Institute of Technology, Beijing, 100081 China

autor

Huafei Sun

• Department of Mathematics, Beijing Institute of Technology, Beijing, 100081 China

Identyfikatory

DOI

10.4064/cm109-2-6