On minimal homothetical hypersurfaces
Volume 109 / 2007
Colloquium Mathematicum 109 (2007), 239-249
MSC: 53A15, 53C42.
DOI: 10.4064/cm109-2-6
Abstract
We give a classification of minimal homothetical hypersurfaces in an $(n+1)$-dimensional Euclidean space. In fact, when $n\geq 3$, a minimal homothetical hypersurface is a hyperplane, a quadratic cone, a cylinder on a quadratic cone or a cylinder on a helicoid.
