Results 1 to 10 of about 784 (176)
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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The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric
Mathematics, 2022 We study the ∗-Ricci operator on Hopf real hypersurfaces in the complex quadric. We prove that for Hopf real hypersurfaces in the complex quadric, the ∗-Ricci tensor is symmetric if and only if the unit normal vector field is singular.
Rongsheng Ma, Donghe Pei
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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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Advances in Mathematical Physics, 2023 In this note, we establish an integral inequality for compact and orientable real hypersurfaces in complex two-plane Grassmannians G2ℂm+2, involving the shape operator A and the Reeb vector field ξ.
Dehe Li, Bo Li, Lifen Zhang
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Real Hypersurfaces in Complex Grassmannians of Rank Two
Mathematics, 2021 It is known that there does not exist any Hopf hypersurface in complex Grassmannians of rank two of complex dimension 2m with constant sectional curvature for m≥3. The purpose of this article is to extend the above result, and without the Hopf condition,
Dehe Li, Shujie Zhai
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Generalized Sasakian Space Forms Which Are Realized as Real Hypersurfaces in Complex Space Forms
Mathematics, 2020 We prove a classification theorem of the generalized Sasakian space forms which are realized as real hypersurfaces in complex space forms.
Alfonso Carriazo +2 more
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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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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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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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