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

Open Mathematics (2005)

- Volume: 3, Issue: 2, page 318-330
- ISSN: 2391-5455

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topPiotr Dacko, and Zbigniew Olszak. "On almost cosymplectic (−1, μ, 0)-spaces." Open Mathematics 3.2 (2005): 318-330. <http://eudml.org/doc/268912>.

@article{PiotrDacko2005,

abstract = {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.},

author = {Piotr Dacko, Zbigniew Olszak},

journal = {Open Mathematics},

keywords = {53C25; 53D15},

language = {eng},

number = {2},

pages = {318-330},

title = {On almost cosymplectic (−1, μ, 0)-spaces},

url = {http://eudml.org/doc/268912},

volume = {3},

year = {2005},

}

TY - JOUR

AU - Piotr Dacko

AU - Zbigniew Olszak

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

JO - Open Mathematics

PY - 2005

VL - 3

IS - 2

SP - 318

EP - 330

AB - 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.

LA - eng

KW - 53C25; 53D15

UR - http://eudml.org/doc/268912

ER -

## References

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