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

• Autorzy: Piotr Dacko , Zbigniew Olszak
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Almost cosymplectic manifold; $$\mathcal{D}$$-homothetic transformation; almost cosymplectic (κ, μ, ν)-space; 53C25; 53D15

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2005
• Tom: 3
• Numer: 2
• Strony: 318-330

Daty

wydano

2005-06-01

online

2005-06-01

Twórcy

autor

Piotr Dacko

• Wrocław University of Technology

autor

Zbigniew Olszak

• Wrocław University of Technology

Bibliografia

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Identyfikatory

DOI

10.2478/BF02479207