Results 21 to 30 of about 1,716 (234)
Non-Existence of Real Hypersurfaces with Parallel Structure Jacobi Operator in S6(1)
Mathematics, 2022 It is well known that the sphere S6(1) admits an almost complex structure J which is nearly Kähler. If M is a hypersurface of an almost Hermitian manifold with a unit normal vector field N, the tangent vector field ξ=−JN is said to be characteristic or ...
Miroslava Antić, Djordje Kocić
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Real hypersurfaces of indefinite Kaehler manifolds
International Journal of Mathematics and Mathematical Sciences, 1993 We show the existence of ( ϵ )-almost contact metric structures and give examples of ( ϵ )-Sasakian manifolds. Then we get a classification theorem for real hypersurfaces of indefinite complex space-forms with parallel structure vector field.
A. Bejancu, K. L. Duggal
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Algebraicity of Global Real Analytic Hypersurfaces
Geometriae Dedicata, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kurdyka, Krzysztof, Kucharz, Wojciech
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On certain real hypersurfaces of quaternionic projective space
International Journal of Mathematics and Mathematical Sciences, 1991 We classify certain real hypersurfaces ot a quaternionic projective space satisfying the condition σ(R(X,Y)SZ)=0.
Juan De Dios Perez, Florentino G. Santos
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COMPLEX SUBMANIFOLDS IN REAL HYPERSURFACES [PDF]
Journal of the Korean Mathematical Society, 2010 Let M be a C 1 real hypersurface in C n+1 , n ‚ 1, locally given as the zero locus of a C 1 real valued function r that is defined on a neighborhood of the reference point P 2 M. For each k = 1,...,n we present a necessary and sucient condition for there to exist a complex manifold of dimension k through P that is contained in M, assuming the Levi form
Chong-Kyu Han, Giuseppe Tomassini
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International Journal of Mathematics and Mathematical Sciences, 2001 Recent advances in CR (Cauchy-Riemann) geometry have raised interesting fine questions about the regularity of CR mappings between real analytic hypersurfaces.
Joël Merker
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Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds
Mathematics, 2023 Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures.
Vladimir Rovenski
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Real hypersurfaces of type A in quarternionic projective space
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper, under certain conditions on the orthogonal distribution 𝒟, we give a characterization of real hypersurfaces of type A in quaternionic projective space QPm.
U-Hang Ki +2 more
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On the Ricci tensor of real hypersurfaces of quaternionic projective space
International Journal of Mathematics and Mathematical Sciences, 1996 We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
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On the structure vector field of a real hypersurface in complex quadric
Open Mathematics, 2018 From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
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