Results 1 to 10 of about 79 (78)

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, Jong Taek Cho, Verónica Martín-Molina   +2 more
doaj   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

Some New Characterizations of Real Hypersurfaces with Isometric Reeb Flow in Complex Two-Plane Grassmannians

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Real Hypersurfaces of Nonflat Complex Projective Planes Whose Jacobi Structure Operator Satisfies a Generalized Commutative Condition

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
doaj   +1 more source

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
doaj   +1 more source

Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms

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, Pérez Juan de Dios   +1 more
doaj   +1 more source