A class of complex hypersurfaces
Patrick J. Ryan (1972)
Colloquium Mathematicae
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Patrick J. Ryan (1972)
Colloquium Mathematicae
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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.
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.
Immervoll, Stefan (2008)
Beiträge zur Algebra und Geometrie
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Takehiro Itoh, Sadahiro Maeda (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We characterize totally η-umbilic real hypersurfaces in a nonflat complex space form M̃ₙ(c) (= ℂPⁿ(c) or ℂHⁿ(c)) and a real hypersurface of type (A₂) of radius π/(2√c) in ℂPⁿ(c) by observing the shape of some geodesics on those real hypersurfaces as curves in the ambient manifolds (Theorems 1 and 2).
Andrew Baker, Nigel Ray (1982)
Mathematica Scandinavica
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Kim, Hyang Sook, Pyo, Yong-Soo (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Akivis, Maks A., Goldberg, Vladislav V. (1998)
Beiträge zur Algebra und Geometrie
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J.W. Bruce (1981)
Mathematica Scandinavica
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Reiko Miyaoka (1984)
Mathematische Zeitschrift
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Young Ho Kim, Sadahiro Maeda (2011)
Colloquium Mathematicae
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We characterize homogeneous real hypersurfaces of types (A₀), (A₁) and (B) in a complex projective space or a complex hyperbolic space.
U. Abresch (1983)
Mathematische Annalen
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Bert Fischer (1996)
Mathematische Zeitschrift
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Reiko Miyaoka (1982)
Mathematische Zeitschrift
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Kim, Hyang Sook (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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