On double-ruled hypersurfaces in $\mathbf {R}^4$

Oldřich Kowalski; Zdeněk Vlášek

Displaying similar documents to “On double-ruled hypersurfaces in $𝐑^{4}$ ”

Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_{1}^{n + 1} (- 1)$

Guoxin Wei, Qiuli Liu, Young Jin Suh (2009)

Czechoslovak Mathematical Journal

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In this paper, we study closed $k$ -maximal spacelike hypersurfaces $M^{n}$ in anti-de Sitter space $H_{1}^{n + 1} (- 1)$ with two distinct principal curvatures and give some integral formulas about these hypersurfaces.

Characterization of totally umbilic hypersurfaces in a space form by circles

Toshiaki Adachi, Sadahiro Maeda (2005)

Czechoslovak Mathematical Journal

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In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by properties of the extrinsic shape of geodesics due to Kimura-Maeda.

A characterization of totally $η$ -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form

Mayuko Kon (2008)

Czechoslovak Mathematical Journal

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We give a characterization of totally $η$ -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form in terms of totally umbilical condition for the holomorphic distribution on real hypersurfaces. We prove that if the shape operator $A$ of a real hypersurface $M$ of a complex space form $M^{n} (c)$ , $c \neq 0$ , $n \geq 3$ , satisfies $g (A X, Y) = a g (X, Y)$ for any $X, Y \in T_{0} (x)$ , $a$ being a function, where $T_{0}$ is the holomorphic distribution on $M$ , then $M$ is a totally $η$ -umbilical real hypersurface or locally congruent to a ruled real...

Displaying similar documents to “On double-ruled hypersurfaces in 𝐑 4 ”

Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space H 1 n + 1 ( - 1 )

Characterization of totally umbilic hypersurfaces in a space form by circles

A characterization of totally η -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form

Displaying similar documents to “On double-ruled hypersurfaces in $𝐑^{4}$ ”

Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_{1}^{n + 1} (- 1)$

A characterization of totally $η$ -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form