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On almost cosymplectic (−1, μ, 0)-spaces

Piotr Dacko, Zbigniew Olszak (2005)

Open Mathematics

In our previous paper, almost cosymplectic (κ, μ, ν)-spaces were defined as the almost cosymplectic manifolds whose structure tensor fields satisfy a certain special curvature condition. Amongst other results, it was proved there that any almost cosymplectic (κ, μ, ν)-space can be $𝒟$ -homothetically deformed to an almost cosymplectic −1, μ′, 0)-space. In the present paper, a complete local description of almost cosymplectic (−1, μ, 0)-speces is established: “models” of such spaces are constructed,...

On almost cosymplectic manifolds with the structure vector field $ξ$ belonging to the $κ$ -nullity distribution.

Dacko, Piotr (2000)

Balkan Journal of Geometry and its Applications (BJGA)

On almost cosymplectic (κ,μ,ν)-spaces

Piotr Dacko, Zbigniew Olszak (2005)

Banach Center Publications

An almost cosymplectic (κ,μ,ν)-space is by definition an almost cosymplectic manifold whose structure tensor fields φ, ξ, η, g satisfy a certain special curvature condition (see formula (eq1b)). This condition is invariant with respect to the so-called -homothetic transformations of almost cosymplectic structures. For such manifolds, the tensor fields φ, h ( $= (1 / 2) ℒ_{ξ} φ$ ), A ( = -∇ξ) fulfill a certain system of differential equations. It is proved that the leaves of the canonical foliation of an almost cosymplectic...

On conharmonic curvature tensor in $K$ -contact and Sasakian manifolds.

Dwivedi, Mohit Kumar, Kim, Jeong-Sik (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On Riemannian manifolds endowed with a locally conformal cosymplectic structure.

Mihai, Ion, Rosca, Radu, Ghişoiu, Valentin (2005)

International Journal of Mathematics and Mathematical Sciences

On semi-invariant submanifolds of a nearly Kenmotsu manifold with the canonical semi-symmetric semi-metric connection

Mobin Ahmad (2010)

Matematički Vesnik

On some properties of induced almost contact structures

Zuzanna Szancer (2015)

Annales Polonici Mathematici

Real affine hypersurfaces of the complex space $ℂ^{n + 1}$ with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) are studied. Some properties of the induced almost contact structures are proved. In particular, we prove some properties of the induced structure when the distribution is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or ξ-invariant are also given.

On the classification of tight contact structures. I.

Honda, Ko (2000)

Geometry & Topology

On the normality of an almost contact $3$ -structure on $Q R$ -submanifolds

Shoichi Funabashi, Jin Suk Pak, Yang Jae Shin (2003)

Czechoslovak Mathematical Journal

We study $n$ -dimensional $Q R$ -submanifolds of $Q R$ -dimension $(p - 1)$ immersed in a quaternionic space form $Q P^{(n + p) / 4} (c)$ , $c ≧ 0$ , and, in particular, determine such submanifolds with the induced normal almost contact $3$ -structure.

On the quasi-conformal curvature tensor of a Kenmotsu manifold.

Özgür, Cihan, De, Uday Chand (2006)

Mathematica Pannonica

On weakly $φ$ -symmetric Kenmotsu Manifolds

Shyamal Kumar Hui (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The object of the present paper is to study weakly $φ$ -symmetric and weakly $φ$ -Ricci symmetric Kenmotsu manifolds. It is shown that weakly $φ$ -symmetric and weakly $φ$ -Ricci symmetric Kenmotsu manifolds are $η$ -Einstein.

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