Displaying similar documents to “On almost cosymplectic (κ,μ,ν)-spaces”

Minimal Reeb vector fields on almost Kenmotsu manifolds

Yaning Wang (2017)

Czechoslovak Mathematical Journal

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A necessary and sufficient condition for the Reeb vector field of a three dimensional non-Kenmotsu almost Kenmotsu manifold to be minimal is obtained. Using this result, we obtain some classifications of some types of ( k , μ , ν ) -almost Kenmotsu manifolds. Also, we give some characterizations of the minimality of the Reeb vector fields of ( k , μ , ν ) -almost Kenmotsu manifolds. In addition, we prove that the Reeb vector field of an almost Kenmotsu manifold with conformal Reeb foliation is minimal. ...

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

Piotr Dacko, Zbigniew Olszak (2005)

Open Mathematics

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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...

On some properties of induced almost contact structures

Zuzanna Szancer (2015)

Annales Polonici Mathematici

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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.

Superminimal fibres in an almost Hermitian submersion

Bill Watson (2000)

Bollettino dell'Unione Matematica Italiana

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Se la varietà base, N , di una submersione quasi-Hermitiana, f : M → N , è una G 1 -varietà e le fibre sono subvarietà superminimali, allora lo spazio totale, M , è G 1 . Se la varietà base, N , è Hermitiana e le fibre sono subvarietà bidimensionali e superminimali, allora lo spazio totale, M , è Hermitiano.