Displaying similar documents to “Quadric representation and Clifford minimal hypersurfaces.”

Ideal tubular hypersurfaces in real space forms

Johan Fastenakels (2006)

Archivum Mathematicum

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In this article we give a classification of tubular hypersurfaces in real space forms which are δ ( 2 , 2 , ... , 2 ) -ideal.

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.

Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups

Francescopaolo Montefalcone (2016)

Analysis and Geometry in Metric Spaces

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In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups. In this case, we will prove the convex hull property and some “exclosure theorems” for H-minimal hypersurfaces of class C2 satisfying a Hörmander-type condition.