Integral points and the hyperbolicity of the complement of hypersurfaces.
Min Ru (1993)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “Real hypersurfaces with constant principal curvatures in complex hyperbolic space.”
Integral points and the hyperbolicity of the complement of hypersurfaces.
On codimension-two subvarieties of hypersurfaces.
Ekaterina Amerik (1997)
Journal für die reine und angewandte Mathematik
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On the quadric CMC spacelike hypersurfaces in Lorentzian space forms
Cícero P. Aquino, Henrique F. de Lima, Fábio R. dos Santos (2016)
Colloquium Mathematicae
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We deal with complete spacelike hypersurfaces immersed with constant mean curvature in a Lorentzian space form. Under the assumption that the support functions with respect to a fixed nonzero vector are linearly related, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of the ambient space.
Geodesics and circles on real hypersurfaces of type and in a complex space form.
Kim, Hyang Sook, Lee, Gil Sang, Pyo, Yong-Soo (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
Juan de Dios Pérez, Young Jin Suh, Changhwa Woo (2015)
Open Mathematics
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In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.
Real hypersurfaces in quaternionic space forms.
Jürgen Berndt (1991)
Journal für die reine und angewandte Mathematik
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A class of complex hypersurfaces
Patrick J. Ryan (1972)
Colloquium Mathematicae
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Non-existence of real lightlike hypersurfaces of an indefinite complex space form.
Ṣahin, Bayram, Güneṣ, Rifat (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space.
R. Hardt, F.-H. Lin (1987)
Inventiones mathematicae
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Parallel hypersurfaces
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.
Isoparametric hypersurfaces with less than four principal curvatures in a sphere
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.
Complete minimal hypersurfaces with prescribed asymptotics at infinity.
Claire C. Chan (1997)
Journal für die reine und angewandte Mathematik
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Real hypersurfaces in a nonflat complex space form and their almost contact metric structures
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.
Existence an regularity of constant mean curvature hypersurfaces in hyperbolic space.
Yoshihiro Tonegawa (1996)
Mathematische Zeitschrift
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Geometric properties of Lie hypersurfaces in a complex hyperbolic space
Young Ho Kim, Sadahiro Maeda, Hiromasa Tanabe (2019)
Czechoslovak Mathematical Journal
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We study homogeneous real hypersurfaces having no focal submanifolds in a complex hyperbolic space. They are called Lie hypersurfaces in this space. We clarify the geometry of Lie hypersurfaces in terms of their sectional curvatures, the behavior of the characteristic vector field and their holomorphic distributions.
Complete Hypersurfaces in the Space Form with Three Principal Curvatures.
Reiko Miyaoka (1982)
Mathematische Zeitschrift
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A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form
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).