Year: 2010
Type: preprint
Abstract: Main interest of the present paper is to investigate the almost α-cosymplectic manifolds for which the characteristic vector field of the almost α-cosymplectic structure satisfies a specific (κ,μ,ν)-nullity condition. This condition is invariant under D-homothetic deformation of the almost cosymplectic (κ,μ,ν)-spaces in all dimensions. Also, we prove that for dimensions greater than three, κ,μ,ν are not necessary constant smooth functions such that df^η=0. Then the existence of the three-dimensional case of almost cosymplectic (κ,μ,ν)-spaces are studied. Finally, we construct an appropriate example of such manifolds.
Source: arXiv (Cornell University)
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3034107273