Results 1 to 10 of about 4,723 (94)
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
The Journal of Geometric Analysis, 2021 MCT-FEDER project MTM-2016-78807-C2-1 ...
Kimura, Makoto +3 more
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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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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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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
Kaimakamis, George +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.
Pérez Jiménez, Juan De Dios +1 more
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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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Ruled real hypersurfaces of complex space forms
Kodai Mathematical Journal, 2010 Real hypersurfaces in non-flat complex space forms with integrable holomorphic distribution and symmetric φ-Ricci tensor which are φ-Einstein are ruled real hypersurfaces.
Hamada, Tatsuyoshi, Inoguchi, Jun-ichi
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Twistor representation of null two-surfaces [PDF]
, 2001 We present a twistor description for null two-surfaces (null strings) in 4D Minkowski space-time. The Lagrangian density for a variational principle is taken as a surface-forming null bivector.
Ashtekar +26 more
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Is "the theory of everything'' merely the ultimate ensemble theory? [PDF]
, 1998 We discuss some physical consequences of what might be called ``the ultimate ensemble theory'', where not only worlds corresponding to say different sets of initial data or different physical constants are considered equally real, but also worlds ruled ...
Albrecht +60 more
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