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Ricci solitons on QR-hypersurfaces of a quaternionic space form ℚn

open access: yesActa Universitatis Sapientiae: Mathematica, 2016
The purpose of this paper is to study Ricci solitons on QR-hypersurfaces M of a quaternionic space form ℚn such that the shape operator A with respect to N has one eigenvalue.
Nazari Z., Abedi E.
doaj   +1 more source

Formality and the Lefschetz property in symplectic and cosymplectic geometry

open access: yesComplex Manifolds, 2015
We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply ...
Bazzoni Giovanni   +2 more
doaj   +1 more source

On Kähler-like and G-Kähler-like almost Hermitian manifolds

open access: yesComplex Manifolds, 2020
We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
doaj   +1 more source

On Almost Norden Statistical Manifolds. [PDF]

open access: yesEntropy (Basel), 2022
Samereh L, Peyghan E, Mihai I.
europepmc   +1 more source

A dimensional restriction for a class of contact manifolds

open access: yesDemonstratio Mathematica, 2017
In this work we consider a class of contact manifolds (M, η) with an associated almost contact metric Structure (ϕ, ξ, η, g). This class contains, for example, nearly cosymplectic manifolds and the manifolds in the class C9 ⊕ C10 defined by Chinea and ...
Loiudice Eugenia
doaj   +1 more source

Four-dimensional Riemannian product manifolds with circulant structures

open access: yes, 2019
A 4-dimensional Riemannian manifold equipped with an additional tensor structure, whose fourth power is the identity, is considered. This structure has a circulant matrix with respect to some basis, i.e.
Dokuzova, Iva
core  

Generalized almost paracontact structures

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
The notion of generalized almost paracontact structure on the generalized tangent bundle TM ⊕ T* M is introduced and its properties are investigated.
Blaga Adara M., Ida Cristian
doaj   +1 more source

On the Kähler-likeness on almost Hermitian manifolds

open access: yesComplex Manifolds, 2019
We define a Kähler-like almost Hermitian metric. We will prove that on a compact Kähler-like almost Hermitian manifold (M2n, J, g), if it admits a positive ∂ ̄∂-closed (n − 2, n − 2)-form, then g is a quasi-Kähler metric.
Kawamura Masaya
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 access: yesOpen 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
doaj   +1 more source

The β-Flatness Condition in CR Spheres

open access: yesAdvanced Nonlinear Studies, 2017
This work is an adaptation of one of the methods based on the variational critical points at infinity theory of Abbas Bahri [1, 3, 2, 4, 5, 6, 7, 8] to the Cauchy–Riemann settings.
Gamara Najoua, Hafassa Boutheina
doaj   +1 more source

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