On almost cosymplectic (κ,μ,ν)-spaces

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

Abstrakty

EN

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 𝓓-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 𝓓-homothetic transformation of the almost cosymplectic structures.

Kategorie tematyczne

• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53D15: Almost contact and almost symplectic manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 69
• Numer: 1
• Strony: 211-220

Daty

wydano

2005

Twórcy

autor

Piotr Dacko

• Institute of Mathematics and Informatics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Zbigniew Olszak

• Institute of Mathematics and Informatics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Identyfikatory

DOI

10.4064/bc69-0-17