Results 161 to 170 of about 220,418 (211)
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Harmonicity of normal almost contact metric structures
Differential geometry and its applications, 2023We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as maps.
M. Benyounes +3 more
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Almost contact 5-manifolds are contact
Annals of Mathematics, 2015The main result proved in the paper: On a closed oriented 5-dimensional manifold, there exists a contact structure in every homotopy class of almost contact structures. Using the techniques developed in this article, it is not possible to conclude anything about the number of distinct contact distributions that may occur in a given homotopy class of ...
Roger Casals +2 more
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Almost contact curves in normal almost contact 3-manifolds
Journal of Geometry, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Inoguchi, Jun-ichi, Lee, Ji-Eun
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Immersion of the Ricci-recurrent normal almost contact metric manifolds
Annals of Mathematics and Computer ScienceIn this paper, we investigate the immersion of three-dimensional Ricci-recurrent normal almost contact metric manifolds into four-dimensional Riemannian manifolds with constant curvature 1.
Hari Baskar, Y B Maralabhavi
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Fiberings on almost $r$-contact manifolds
Publicationes Mathematicae Debrecen, 1993Let \(M\) be a \((2m+r)\)-dimensional Riemannian manifold endowed with an almost \(r\)-contact structure defined by the Reeb vector fields \(\xi_ s\) \((s,t\in \{2m+1,\dots,2m+r\})\) and let \(\eta^ s\) be the associated Reeb covectors, i.e. \(\eta^ t(\xi_ s)= \delta_{t^ s}\).
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On Conformally Flat Almost Contact Metric Manifolds
Mediterranean Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Blair, David E., Yıldırım, Handan
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A Study of New Class of Almost Contact Metric Manifolds of Kenmotsu Type
, 2021In this paper, we characterized a new class of almost contact metric manifolds and established the equivalent conditions of the characterization identity in term of Kirichenko’s tensors.
H. Abood, M. Y. Abass
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From Ricci soliton to almost contact metric structures
International Electronic Journal of GeometryIn this paper, we construct almost contact metric structures on a three-dimensional Riemannian manifold equipped with an almost Ricci soliton. Then, we give the techniques necessary to define the nature of such structures. Concrete examples are given.
Beldjilali Gherici
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From Yamabe to almost contact metric structure
Acta et commentationes Universitatis Tartuensis de mathematicaThe investigation of Yamabe solitons within almost contact metric manifolds has garnered significant interest recently, producing notable findings. This paper aims to explore the inverse problem: constructing almost contact metric structures on a three ...
G. Beldjilali, Adel Delloum
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Curvature of indefinite almost contact manifolds
Journal of Geometry, 1997The authors investigate the curvature properties of indefinite almost contact manifolds \((M,\varphi,\xi,\) \(\eta,g).\) Formally, \((\varphi,\xi,\eta,g)\) is an almost contact metric structure on the differentiable manifold \(M\) [cf., e.g., \textit{D. E. Blair} [Contact manifolds in Riemannian geometry. Lect. Notes Math.
Bonome, Agustín +3 more
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