Results 11 to 20 of about 24,571 (250)

Reeb vector field of almost contact metric structure as affine motion

open access: yesДифференциальная геометрия многообразий фигур, 2022
Smooth manifold with almost contact metric structure (i. e., almost contact metric manifold) was considered in this paper. We used a modern version of Cartan’s method of external forms to conduct our study.
L.A. Ignatochkina
doaj   +1 more source

Lifting semi-invariant submanifolds to distribution of almost contact metric manifolds

open access: yesДифференциальная геометрия многообразий фигур, 2020
Let M be an almost contact metric manifold of dimension n = 2m + 1. The distribution D of the manifold M admits a natural structure of a smooth manifold of dimension n = 4m + 1.
A. Bukusheva
doaj   +1 more source

Almost contact metric structures induced by $G_2$ structures

open access: yesTURKISH JOURNAL OF MATHEMATICS, 2017
We study almost contact metric structures induced by 2-fold vector cross products on manifolds with $G_2$ structures. We get some results on possible classes of almost contact metric structures. Finally we give examples.
Ozdemir, Nulifer   +2 more
openaire   +5 more sources

On nonexistence of Kenmotsu structure on аст-hypersurfaces of cosymplectic type of a Kählerian manifold

open access: yesДифференциальная геометрия многообразий фигур, 2019
Almost contact metric (аст-)structures induced on oriented hypersur­fa­ces of a Kählerian manifold are considered in the case when these аст-struc­tures are of cosymplectic type, i. e. the contact form of these struc­tu­res is closed. As it is known, the
G. Banaru
doaj   +1 more source

Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers

open access: yesAxioms, 2020
We study the reduction procedure applied to pseudo-Kähler manifolds by a one dimensional Lie group acting by isometries and preserving the complex tensor. We endow the quotient manifold with an almost contact metric structure. We use this fact to connect
José Luis Carmona Jiménez   +1 more
doaj   +1 more source

On the Classifying of the Tangent Sphere Bundle with Almost Contact B-Metric Structure

open access: yesپژوهش‌های ریاضی, 2021
One of the classical fundamental motifs in differential geometry of manifolds is the notion of the almost contact structure. As a counterpart of the almost contact metric structure, the notion of the almost contact B-metric structure has been an ...
Esmaeil Peyghan, Farshad Firuzi
doaj  

Hyperbolic normal almost contactmetric hypersurfaces in Euclidean 4-dimensional space

open access: yesLietuvos Matematikos Rinkinys, 2005
In Euclidean 4-dimensional space, all hyper surfaces with normal almost contact metric structure of hyperbolic type as well as hyperbolic Sasakian structure are found.
Angelė Baškienė
doaj   +3 more sources

Contact-Complex Riemannian Submersions

open access: yesMathematics, 2021
A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan   +2 more
doaj   +1 more source

On six-dimensional AH-submanifolds of class W1⊕W2⊕W4 in Cayley algebra

open access: yesДифференциальная геометрия многообразий фигур, 2020
Six-dimensional submanifolds of Cayley algebra equipped with an almost Hermitian structure of class W1 W2 W4 defined by means of three-fold vector cross products are considered.
G. A. Banaru
doaj   +1 more source

Parabolic almost contact structures

open access: yesLietuvos Matematikos Rinkinys, 2001
Parabolic analogues of almost contact structures are investigated. Parabolic (φ, ξ, θ, λ)- structure, parabolic metric (φ, ξ, θ, λ)-structure and its properties are defined. Existence of such a structures in hyperstufaces of almost dual spaces is proved;
Angelė Baškienė
doaj   +3 more sources

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