Results 11 to 20 of about 10,282 (261)
On nearly Kählerian manifolds and quasi-Sasakian hypersurfaces axiom
Дифференциальная геометрия многообразий фигур, 2021 It is known that an almost contact metric structure is induced on an arbitrary hypersurface of an almost Hermitian manifold. The case when the almost Hermitian manifold is nearly Kählerian and the almost contact metric structure on its hypersurface is ...
G.A. Banaru
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Axioms, 2023 A Yamabe soliton is considered on an almost-contact complex Riemannian manifold (also known as an almost-contact B-metric manifold), which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric ...
Mancho Manev
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Reeb vector field of almost contact metric structure as affine motion
Дифференциальная 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
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Contact-Complex Riemannian Submersions
Mathematics, 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
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Lifting semi-invariant submanifolds to distribution of almost contact metric manifolds
Дифференциальная 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
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ON ALMOST r-CONTACT STRUCTURE MANIFOLDS
Demonstratio Mathematica, 1988 Let \((M^{2n+r},g)\) be a \((2n+r)\)-dimensional Riemannian \(C^{\infty}\)- manifold with metric tensor g. If \(M^{2n+r}\) carries a tensor field F of type (1,1) and r linearly independent vector fields \(U_ s\) and 1- forms \(u_ s\) \((s=1,...,r)\) such that \(F^ 2=-Id+\sum_{s}U_ s\otimes u_ s,\) \(F(U_ s)=0\), \(u_ s\circ F=0\), \(g(FX,FY)=g(X,Y ...
Nivas, Ram, Singh, Rajesh
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Дифференциальная 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
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ALMOST r-CONTACT STRUCTURE IN A PRODUCT MANIFOLD
Demonstratio Mathematica, 1981 Gupta, V. C., Dubey, Renu
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Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
Axioms, 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
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Frontiers in Physics, 2022 The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
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