Results 21 to 30 of about 304,775 (175)
On the existence of almost contact structure and the contact magnetic field [PDF]
, 2009 In this short note we give a simple proof of the existence of an almost contact metric structure on any orientable 3-dimensional Riemannian manifold (M3, g) with the prescribed metric g as the adapted metric of the almost contact metric structure.
Cabrerizo Jaraíz, José Luis +2 more
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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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On six-dimensional AH-submanifolds of class W1⊕W2⊕W4 in Cayley algebra
Дифференциальная 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
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Weighted metrics on tangent sphere bundles [PDF]
, 2010 Natural metric structures on the tangent bundle and tangent sphere bundles $S_rM$ of a Riemannian manifold $M$ with radius function $r$ enclose many important unsolved problems. Admitting metric connections on $M$ with torsion, we deduce the equations of
Albuquerque, Rui
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Parabolic almost contact structures
Lietuvos 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
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Geometry of Harmonic Nearly Trans-Sasakian Manifolds
Axioms, 2023 This paper considers a class of nearly trans-Sasakian manifolds. The local structure of nearly trans-Sasakian structures with a closed contact form and a closed Lee form is obtained.
Aligadzhi R. Rustanov
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A note about almost contact metric hypersurfaces axioms for almost Hermitian manifolds
Дифференциальная геометрия многообразий фигурFrom 1950s, it is known that an almost contact metric structure is induced on an arbitrary oriented hypersurface in an almost Hermitian manifold. In accordance with the definition, an almost Hermitian manifold satisfies the axiom of almost contact ...
A. Abu-Saleem +2 more
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On two structural tensors of an acm-structure
Дифференциальная геометрия многообразий фигурAlmost contact metric structures on odd-dimensional manifolds are considered. The first group of the Cartan structural equations of an arbitrary almost contact metric structure written in an A-frame (i.
M. B. Banaru
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The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure
, 2013 We study the Schouten-van Kampen connection associated to an almost contact or paracontact metric structure. With the help of such a connection, some classes of almost (para) contact metric manifolds are characterized.
Olszak, Zbigniew
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On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds
Mathematics, 2019 In this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and β -Kenmotsu manifolds.
Nülifer Özdemir +2 more
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