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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-6,
author = {Lin Jiu and Huafei Sun},
title = {On minimal homothetical hypersurfaces},
journal = {Colloquium Mathematicae},
volume = {107},
year = {2007},
pages = {239-249},
zbl = {1122.53002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-6}
}
Lin Jiu; Huafei Sun. On minimal homothetical hypersurfaces. Colloquium Mathematicae, Tome 107 (2007) pp. 239-249. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-6/