Parallel hypersurfaces

Barbara Opozda; Udo Simon

Displaying similar documents to “Parallel hypersurfaces”

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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A class of complex hypersurfaces

Patrick J. Ryan (1972)

Colloquium Mathematicae

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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.

On real hypersurfaces of type $A$ in a complex space form. III.

Kim, Hyang Sook, Pyo, Yong-Soo (1998)

Balkan Journal of Geometry and its Applications (BJGA)

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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).