# On almost cosymplectic (κ,μ,ν)-spaces

Banach Center Publications (2005)

- Volume: 69, Issue: 1, page 211-220
- ISSN: 0137-6934

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topPiotr Dacko, and Zbigniew Olszak. "On almost cosymplectic (κ,μ,ν)-spaces." Banach Center Publications 69.1 (2005): 211-220. <http://eudml.org/doc/282258>.

@article{PiotrDacko2005,

abstract = {An almost cosymplectic (κ,μ,ν)-space is by definition an almost cosymplectic manifold whose structure tensor fields φ, ξ, η, g satisfy a certain special curvature condition (see formula (eq1b)). This condition is invariant with respect to the so-called -homothetic transformations of almost cosymplectic structures. For such manifolds, the tensor fields φ, h ($= (1/2)ℒ_\{ξ\}φ$), A ( = -∇ξ) fulfill a certain system of differential equations. It is proved that the leaves of the canonical foliation of an almost cosymplectic (κ,μ,ν)-space with κ<0 are locally flat Kählerian manifolds. A local characterization of such manifolds is established up to a -homothetic transformation of the almost cosymplectic structures.},

author = {Piotr Dacko, Zbigniew Olszak},

journal = {Banach Center Publications},

keywords = {almost cosymplectic manifold; -homothetic transformation; almost cosymplectic ; ; )},

language = {eng},

number = {1},

pages = {211-220},

title = {On almost cosymplectic (κ,μ,ν)-spaces},

url = {http://eudml.org/doc/282258},

volume = {69},

year = {2005},

}

TY - JOUR

AU - Piotr Dacko

AU - Zbigniew Olszak

TI - On almost cosymplectic (κ,μ,ν)-spaces

JO - Banach Center Publications

PY - 2005

VL - 69

IS - 1

SP - 211

EP - 220

AB - An almost cosymplectic (κ,μ,ν)-space is by definition an almost cosymplectic manifold whose structure tensor fields φ, ξ, η, g satisfy a certain special curvature condition (see formula (eq1b)). This condition is invariant with respect to the so-called -homothetic transformations of almost cosymplectic structures. For such manifolds, the tensor fields φ, h ($= (1/2)ℒ_{ξ}φ$), A ( = -∇ξ) fulfill a certain system of differential equations. It is proved that the leaves of the canonical foliation of an almost cosymplectic (κ,μ,ν)-space with κ<0 are locally flat Kählerian manifolds. A local characterization of such manifolds is established up to a -homothetic transformation of the almost cosymplectic structures.

LA - eng

KW - almost cosymplectic manifold; -homothetic transformation; almost cosymplectic ; ; )

UR - http://eudml.org/doc/282258

ER -

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