Results 31 to 40 of about 220,418 (211)
Existence of compatible contact structures on G₂ -manifolds [PDF]
, 2013 In this paper, we show the existence of (co-oriented) contact structures on certain classes of G(2)-manifolds, and that these two structures are compatible in certain ways.
Arikan, M., Cho, H., Salur, S.
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On Pointwise $k$-slant Submanifolds of Almost Contact Metric Manifolds
International Electronic Journal of Geometry, 2023 We establish some properties of the $k$-slant and pointwise $k$-slant submanifolds of an almost contact metric manifold with a special view towards the integrability of the component distributions. We prove some results for totally geodesic pointwise $k$-
A. Blaga, D. Laţcu
semanticscholar +1 more source
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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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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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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The topology of Stein fillable manifolds in high dimensions II [PDF]
, 2015 We continue our study of contact structures on manifolds of dimension at least five using complex surgery theory. We show that in each dimension 2q+1 > 3 there are 'maximal' almost contact manifolds to which there is a Stein cobordism from any other (2q ...
Bowden, Jonathan +3 more
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ALMOST PARA-r CONTACT STRUCTURE MANIFOLD
Demonstratio Mathematica, 1986 All basic definitions and results of this paper have been introduced and studied in a number of papers [e.g. the reviewer and \textit{A. Miernowski}, Ann. Univ. Mariae Curie-Sklodowska, Sect. A 39 (1985); Acta Math. Hung. 45, 327-336 (1985; Zbl 0574.53025), the reviewer, Tensor, New Ser.
Gupta, V. C., Prasad, C. S.
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A curve theory on sliced almost contact manifolds
Journal of New Results in Science, 2022 We have realized a gap between almost contact metric manifolds and contact metric manifolds in our studies. The examples that were given as Sasaki manifolds don't satisfy the condition of being contact metric manifold. As a result of our work, the sliced
Mehmet Gümüş, Çetin Camcı
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Generalized m-quasi-Einstein metric on certain almost contact manifolds
Filomat, 2022 In this paper, we study the generalized m-quasi-Einstein metric in the context of contact geometry. First, we prove if an H-contact manifold admits a generalized m-quasi-Einstein metric with non-zero potential vector field V collinear with ?, then M ...
semanticscholar +1 more source
Statistical cosymplectic manifolds and their submanifolds
پژوهشهای ریاضی, 2022 Introduction Let p(x,ζ) be the set of parametric probability distribution with parameter ζ=ζ1,…,ζn∊Rn. This set is called a statistical model or manifold. The distance between two points is measured by the Fisher metric. In general, statistical manifolds
Mohammad Bagher Kazemi, Shiva Salahvarzi
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