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

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Dacko P., Olszak Z.

Open Mathematics

2005

tom 3

nr 2

318-330

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 $$\mathcal{D}$$ -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, and it is noted that a given almost cosymplectic (−1, μ 0)-space is locally isomorphic to a corresponding model. In the case when μ is constant, the models can be constructed on the whole of ℝ2n+1 and it is shown that they are left invariant with respect to Lie group actions.

Ograniczanie wyników

1 Open Mathematics

1 Dacko P.

1 Olszak Z.

1 2005

Wyniki wyszukiwania

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