Geodesic
On minimal homothetical hypersurfaces
Lin Jiu1 ; Huafei Sun1
1Department of Mathematics Beijing Institute of Technology Beijing, 100081 China
Colloquium Mathematicum, Tome 109 (2007) no. 2, pp. 239-249
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm109-2-6
Keywords: classification minimal homothetical hypersurfaces dimensional euclidean space geq minimal homothetical hypersurface hyperplane quadratic cone cylinder quadratic cone cylinder helicoid

Lin Jiu  1   ; Huafei Sun  1

1 Department of Mathematics Beijing Institute of Technology Beijing, 100081 China 
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Lin Jiu; Huafei Sun. On minimal homothetical hypersurfaces. Colloquium Mathematicum, Tome 109 (2007) no. 2, pp. 239-249. doi: 10.4064/cm109-2-6

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