The hyperosculating spaces of hypersurfaces.
Xu Mingwei (1992)
Mathematische Zeitschrift
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Xu Mingwei (1992)
Mathematische Zeitschrift
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Reiko Miyaoka (1984)
Mathematische Zeitschrift
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Bert Fischer (1996)
Mathematische Zeitschrift
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Reiko Miyaoka (1982)
Mathematische Zeitschrift
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John I.E. Urbas (1990)
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.
Geng Xu (1995)
Mathematische Zeitschrift
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Jürgen Leiterer, B. Fischer (1993)
Mathematische Zeitschrift
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Changping Wang (1993)
Mathematische Zeitschrift
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Ṣahin, Bayram, Güneṣ, Rifat (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Patrick J. Ryan (1972)
Colloquium Mathematicae
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H. Karcher, D. Ferus, H.-F. Münzner (1981)
Mathematische Zeitschrift
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U. Abresch (1983)
Mathematische Annalen
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Reiko Naka-Miyaoka (1980)
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.