Minimal Hypersurfaces in the Space Form with Three Principal Curvatures.
Reiko Naka-Miyaoka (1980)
Mathematische Zeitschrift
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Reiko Naka-Miyaoka (1980)
Mathematische Zeitschrift
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Hideo Muto (1988)
Mathematische Zeitschrift
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Qi-Ming Wang (1994)
Mathematische Annalen
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Reiko Miyaoka (1982)
Mathematische Zeitschrift
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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.
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.
F. Dillen (1990)
Mathematische Zeitschrift
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John I.E. Urbas (1990)
Mathematische Zeitschrift
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Bert Fischer (1996)
Mathematische Zeitschrift
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Xu Mingwei (1992)
Mathematische Zeitschrift
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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.
Reiko Miyaoka (1984)
Mathematische Zeitschrift
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Jayakumar Ramanathan (1990)
Mathematische Zeitschrift
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S.C. de Almeida, F.G. Braga Brito (1987)
Mathematische Zeitschrift
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