Results 11 to 20 of about 129 (128)
A Class of Special Hypersurfaces in Real Space Forms
Journal of Function Spaces, 2016 We define the generalized golden- and product-shaped hypersurfaces in real space forms. A hypersurface M in real space forms Rn+1, Sn+1, and Hn+1 is isoparametric if it has constant principal curvatures.
Yan Zhao, Ximin Liu
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On pseudo-Einstein real hypersurfaces [PDF]
Advances in Geometry, 2019 Abstract Let M be a real hypersurface of a complex space form Mn (c) with c ≠ 0 and n ≥ 3. We show that the Ricci tensor S of M satisfies S(X, Y) = ag(X, Y) for all vector fields X and Y on the holomorphic distribution, a being a constant, if and only if M is a pseudo-Einstein real hypersurface.
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Some New Results on Trans-Sasakian Manifolds
Journal of Mathematics, 2022 In this paper, we classify trans-Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans-Sasakian manifolds whose Reeb vector fields are harmonic-Killing.
Lei Wang, Yan Zhao
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ALMOST HOLOMORPHIC CURVES IN REAL ANALYTIC HYPERSURFACES
, 2023 Using the theory of exterior differential systems, we study the existence of germ of pseudo-holomorphic disk in a real analytic hypersurface locally defined in a complex manifold equipped with J a real analytic almost complex structure. The integrable case in C n with J the multiplication by i has been intensively studied by several authors [DF], [DA1]
Bonneau, Pierre, Mazzilli, Emmanuel
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International Journal of Mathematics and Mathematical Sciences, 2016 Real hypersurfaces satisfying the condition ϕl=lϕ(l=R(·,ξ)ξ) have been studied by many authors under at least one more condition, since the class of these hypersurfaces is quite tough to be classified.
Theocharis Theofanidis
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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, 1992 This article deals with generalizations of certain aspects of the well- established theory about Sasakian and Kählerian geometry to the pseudo- Riemannian situation. Sasakian manifolds with pseudo-Riemannian metrics were already studied by \textit{T. Takahashi} [Tohoku Math. J.
A. Bejancu, K. L. Duggal
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Open Mathematics, 2015 In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina +1 more
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Topology of random real hypersurfaces
Revista Colombiana de Matemáticas, 2014 These are notes of the mini-course I gave during the CIMPA summer school at Villa de Leyva, Colombia, in July $2014$. The subject was my joint work with Damien Gayet on the topology of random real hypersurfaces, restricting myself to the case of projective spaces and focusing on our lower estimates.
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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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