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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Reiko Miyaoka (1984)
Mathematische Zeitschrift
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Bert Fischer (1996)
Mathematische Zeitschrift
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Xu Mingwei (1992)
Mathematische Zeitschrift
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John I.E. Urbas (1990)
Mathematische Zeitschrift
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F. Dillen (1990)
Mathematische Zeitschrift
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Patrick J. Ryan (1972)
Colloquium Mathematicae
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S.C. de Almeida, F.G. Braga Brito (1987)
Mathematische Zeitschrift
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Jayakumar Ramanathan (1990)
Mathematische Zeitschrift
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Wolfgang Kühnel, Markus Becker (1996)
Mathematische Zeitschrift
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Ṣahin, Bayram, Güneṣ, Rifat (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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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.
Claus Gerhardt (1973)
Mathematische Zeitschrift
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Barbara Opozda, Udo Simon (2014)
Annales Polonici Mathematici
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We investigate parallel hypersurfaces in the context of relative hypersurface geometry, in particular including the cases of Euclidean and Blaschke hypersurfaces. We describe the geometric relations between parallel hypersurfaces in terms of deformation operators, and we apply the results to the parallel deformation of special classes of hypersurfaces, e.g. quadrics and Weingarten hypersurfaces.