Results 1 to 10 of about 4,769 (119)
Ruled real hypersurfaces in the complex hyperbolic quadric
Demonstratio Mathematica, 2023 In this article, we introduce a new family of real hypersurfaces in the complex hyperbolic quadric Qn∗=SO2,no∕SO2SOn{{Q}^{n}}^{\ast }=S{O}_{2,n}^{o}/S{O}_{2}S{O}_{n}, namely, the ruled real hypersurfaces foliated by complex hypersurfaces.
Lee Hyunjin, Suh Young Jin, Woo Changhwa
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Ruled Real Hypersurfaces in the Complex Quadric
Journal of Geometric Analysis, 2021 MCT-FEDER project MTM-2016-78807-C2-1 ...
Makoto Kimura +2 more
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A characterization of totally η-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form [PDF]
Czechoslovak Mathematical Journal, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mayuko Kon
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Ruled Real Hypersurfaces in the Indefinite Complex Projective Space
Results in Mathematics, 2022 The main two families of real hypersurfaces in complex space forms are Hopf and ruled. However, very little is known about real hypersurfaces in the indefinite complex projective space $\cpn$. In a previous work, Kimura and the second author introduced Hopf real hypersurfaces in $\cpn$.
Marilena Moruz +2 more
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New characterizations of ruled real hypersurfaces in complex projective space
Periodica Mathematica Hungarica, 2023 AbstractWe consider real hypersurfacesMin complex projective space equipped with both the Levi–Civita and generalized Tanaka–Webster connections. For any nonnull constantkand any symmetric tensor field of type (1, 1)LonM, we can define two tensor fields of type (1, 2) onM,$$L_F^{(k)}$$LF(k)and$$L_T^{(k)}$$LT(k), related to both connections.
Juan De Dios Perez +2 more
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A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms [PDF]
Mathematics, 2020 The Levi-Civita connection and the k-th generalized Tanaka-Webster connection are defined on a real hypersurface M in a non-flat complex space form. For any nonnull constant k and any vector field X tangent to M the k-th Cho operator F X ( k ) is defined and is related to both connections. If X belongs to the maximal holomorphic distribution
George Kaimakamis +2 more
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A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space
Journal of the Mathematical Society of Japan, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sadahiro Maeda +2 more
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Hokkaido Mathematical Journal, 2019 The purpose of this paper is to give geometric characterizations of minimal ruled real hypersurfaces $M$ in a non-flat complex space form by paying particular attention to integral curves of the characteristic vector field on $M$.
Makoto Kimura +2 more
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Transversal Jacobi Operators in Almost Contact Manifolds
Mathematics, 2020 Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M.
Jong Taek Cho, Makoto Kimura
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Generating Curves of Minimal Ruled Real Hypersurfaces in a Nonflat Complex Space Form [PDF]
Canadian Mathematical Bulletin, 2019 AbstractWe first provide a necessary and sufficient condition for a ruled real hypersurface in a nonflat complex space form to have constant mean curvature in terms of integral curves of the characteristic vector field on it. This yields a characterization of minimal ruled real hypersurfaces by circles.
Maeda, Sadahiro +2 more
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