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 -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.
@article{bwmeta1.element.doi-10_2478_BF02479207,
author = {Piotr Dacko and Zbigniew Olszak},
title = {On almost cosymplectic (-1, m, 0)-spaces},
journal = {Open Mathematics},
volume = {3},
year = {2005},
pages = {318-330},
zbl = {1114.53028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02479207}
}
Piotr Dacko; Zbigniew Olszak. On almost cosymplectic (−1, μ, 0)-spaces. Open Mathematics, Tome 3 (2005) pp. 318-330. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02479207/
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