Küpeli, ErkenDacko, P.Murathan, Cengiz2024-08-022024-08-022015-02-010393-0440https://doi.org/10.1016/j.geomphys.2014.09.011https://www.sciencedirect.com/science/article/pii/S0393044014002149https://arxiv.org/pdf/1402.6930https://hdl.handle.net/11452/43655This paper is a complete study of almost alpha-paracosymplectic manifolds. Basic properties of such manifolds are obtained and general curvature identities are proved. The manifolds with para-Kaehler leaves are characterized. It is proved that, for dimensions greater than 3, almost alpha-paracosymplectic manifolds are locally conformal to almost paracosymplectic manifolds and locally D-homothetic to almost para-Kenmotsu manifolds. Furthermore, it is proved that characteristic (Reeb) vector field xi is harmonic on almost alpha-para-Kenmotsu manifold if and only if it is an eigenvector of the Ricci operator. It is showed that almost alpha-para-Kenmotsu (kappa, mu, nu)-space has para-Kaehler leaves. 3-dimensional almost alpha-para-Kenmotsu manifolds are classified. As an application, it is obtained that 3-dimensional almost alpha-para-Kenmotsu manifold is (kappa, mu, nu)-space on an every open and dense subset of the manifold if and only if Reeb vector field is harmonic. Furthermore, examples are constructed.eninfo:eu-repo/semantics/openAccessVector-fieldsCosymplectic manifoldsHarmonicityAlmost paracontact metric manifoldAlmost paracosymplectic manifoldAlmost para-kenmotsu manifoldPara-kaehler manifoldScience & technologyPhysical sciencesMathematics, appliedMathematicsPhysics, mathematicalPhysicsArticle00034808720000330518810.1016/j.geomphys.2014.09.0111879-1662