Quadric hypersurfaces of finite type
Bang-Yen Chen, Franki Dillen, Hong-Zao Song (1992)
Colloquium Mathematicae
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Bang-Yen Chen, Franki Dillen, Hong-Zao Song (1992)
Colloquium Mathematicae
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David A. Cox, Mark L. Green (1990)
Compositio Mathematica
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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.
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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Andrew Baker, Nigel Ray (1982)
Mathematica Scandinavica
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J.W. Bruce (1981)
Mathematica Scandinavica
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Seon Mi Lyu, Juan de Dios Pérez, Young Jin Suh (2007)
Czechoslovak Mathematical Journal
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This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface in complex space form . In the second, we give a complete classification of real hypersurfaces in which satisfy the above geometric facts.
S.A. Broughton (1988)
Inventiones mathematicae
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