Invariants and canonical equations of hypersurfaces of second order in -dimensional Euclidean space.

Pevzner, S.L.

Displaying similar documents to “Invariants and canonical equations of hypersurfaces of second order in $n$ -dimensional Euclidean space.”

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.

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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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.

Some infinte families of U-hypersurfaces.

Andrew Baker, Nigel Ray (1982)

Mathematica Scandinavica

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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).