De, Uday ChandYildiz, AhmetCetinkaya, Azime2024-08-042024-08-0420151012-94052190-7668https://doi.org/10.1007/s13370-014-0282-7https://hdl.handle.net/11616/97017Let M be a 3-dimensional almost contact metric manifold satisfying (*) condition. We denote such a manifold by M*. At first we study symmetric and skew-synunetric parallel tensor of type (0, 2) in M*. Next we prove that a non-cosymplectic manifold M* is Ricci semisymmetric if and only if it is Einstein. Also we study locally phi-symmetry and eta-parallel Ricci tensor of M*. Finally, we prove that if a non-cosymplectic M* is Einstein, then the manifold is Sasakian.eninfo:eu-repo/semantics/closedAccessAlmost contact metric manifoldRicci semisymmetricLocally phi-symmetryeta-parallel Ricci tensorArticle267-81229123610.1007/s13370-014-0282-72-s2.0-84944672292Q2WOS:000452882100005N/A