Results 91 to 100 of about 3,612 (103)

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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Ruled real hypersurfaces of a complex space form

Acta Mathematica Sinica, 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.
Ki, U-Hang, Kim, Nam-Gil
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The homogeneous ruled real hypersurface in a complex hyperbolic space

Journal of Geometry, 2018
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Makoto Kimura, Sadahiro Maeda, Hiromasa Tanabe   +2 more
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CHARACTERIZATIONS OF RULED REAL HYPERSURFACES IN 2-DIMENSIONAL COMPLEX SPACE FORM

JP Journal of Geometry and Topology, 2016
A real hypersurface \(M\) in a complex space form \(M_n(c),\) \(c\neq 0\) has an almost contact metric structure \((\phi,g,\xi,\eta)\) induced by the Kähler metric. In this paper, the authors give one geometrical characterization of ruled real hypersurface \(M\) in \(2\)-dimensional complex space form \(M_2(c),\) \(c\neq 0\) in terms of the \(\eta ...
Lim, Dong Ho, Sohn, Woon Ha
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Behavior of ruled real hypersurfaces in a nonflat complex space form from the viewpoint of the curvature tensor

Colloquium Mathematicum, 2021
Summary: In this paper, we investigate ruled real hypersurfaces in a nonflat complex space form from the viewpoint of \(\phi \)-invariances of curvature tensors of real hypersurfaces. Furthermore we give a new characterization of these real hypersurfaces.
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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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Maeda, Sadahiro, Tanabe, Hiromasa
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Some Problems on Ruled Hypersurfaces in Nonflat Complex Space Forms

Results in Mathematics, 2020
Olga Pérez-Barral
exaly  

Classification Theorems for Biharmonic Real Hypersurfaces in a Complex Projective Space

Results in Mathematics, 2019
Toru Sasahara
exaly  

Holomorphic Equivalence and Nonlinear Symmetries of Ruled Hypersurfaces in $\mathbb{C}^{2}$

Journal of Geometric Analysis, 2013
Martin Kolar, Bernhard Lamel
exaly  

Three real hypersurfaces some of whose geodesics are mapped to circles with the same curvature in a nonflat complex space form

Geometriae Dedicata, 2011
Kazuhiro Okumura, Sadahiro Maeda
exaly