Comparison theorems and hypersurfaces.
J.-H. Eschenburg (1987)
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J.-H. Eschenburg (1987)
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Josef Dorfmeister, Erhard Neher (1983)
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Patrick J. Ryan (1972)
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Klaus Ecker (1986)
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Ṣahin, Bayram, Güneṣ, Rifat (2000)
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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.
J.W. Bruce (1981)
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Angelo Vistoli (1993)
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Angelo Vistoli (1993)
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Andrew Baker, Nigel Ray (1982)
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J.-H. Eschenburg (1989)
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Toshiaki Adachi, Sadahiro Maeda (2006)
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We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.
Akivis, Maks A., Goldberg, Vladislav V. (1998)
Beiträge zur Algebra und Geometrie
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Kim, Hyang Sook, Pyo, Yong-Soo (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Geng Xu (1995)
Mathematische Zeitschrift
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