Complete minimal hypersurfaces in a locally symmetric space.
Kim, Hyang Sook, Pyo, Yong-Soo (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “Quadric representation and Clifford minimal hypersurfaces.”
Complete minimal hypersurfaces in a locally symmetric space.
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 -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.
Sectional curvatures of minimal hypersurfaces immersed in
He Kim, Seong Ahn, Masahiro Kon (1994)
Colloquium Mathematicae
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Isoparametric hypersurfaces with less than four principal curvatures in a sphere
Toshiaki Adachi, Sadahiro Maeda (2006)
Colloquium Mathematicae
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We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.
The First Eigenvalue of the Laplacian of an Isoparametric Minimal Hypersurface in a Unit Sphere.
Hideo Muto (1988)
Mathematische Zeitschrift
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A Characteristic Eigenfunction for Minimal Hypersurfaces in Space Forms.
Steen Markvorsen (1989)
Mathematische Zeitschrift
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On a class of minimal hypersurfaces in Rn.
Qi-Ming Wang (1994)
Mathematische Annalen
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Minimal lightlike hypersurfaces in with integrable screen distribution.
Sakaki, Makoto (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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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.