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On ruled real hypersurfaces in a complex space form

open access: yesOn ruled real hypersurfaces in a complex space form
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Ruled real hypersurfaces of a complex space form

Acta Mathematica Sinica, English Series, 1994
Let \(M_ n (c)\) be an \(n\)-dimensional complete and simply connected complex space form, i.e. a complex Kähler manifold of constant holomorphic sectional curvature \(c\). Following results of \textit{J. Berndt} [J. Reine Angew. Math. 359, 132-141 (1989; Zbl 0655.53046)], \textit{M. Kimura} and \textit{S. Maeda} [Math. Z.
U-Hang Ki
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The homogeneous ruled real hypersurface in a complex hyperbolic space

Journal of Geometry, 2018
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Makoto Kimura   +2 more
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Ruled Real Hypersurfaces in a Nonflat Quaternionic Space Form

Monatshefte Fur Mathematik, 2004
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Toshiaki Adachi   +2 more
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New construction of ruled real hypersurfaces in a complex hyperbolic space and its applications

Geometriae Dedicata, 2019
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Makoto Kimura   +2 more
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A characterization of the homogeneous ruled real hypersurface in a complex hyperbolic space in terms of the first curvature of some integral curves

Archiv Der Mathematik, 2015
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Sadahiro Maeda, Hiromasa Tanabe
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On Ruled Real Hypersurfaces in Complex Space Forms

Geometriae Dedicata, 1999
An immersed real hypersurface of a complex space form \(M_\kappa^{m+1}\) of constant holomorphic sectional curvature \(\kappa\) is said to be ruled if it is foliated by totally geodesic complex hypersurfaces of \(M_\kappa^{m+1}\). Such hypersurfaces can be parametrized by maps of the form \(f:\mathbb{R}\times M_\kappa^m\to M^{m+1}_\kappa\) for which ...
Lohnherr, Michael, Reckziegel, Helmut
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