On geometry of transsasakian and almost transsasakian manifolds

Significant class of almost transsasakian manifolds is selected. Exhausting characterization of the class is obtained. Exhausting description of transsasakian structure class is received. Full classification of transsasakian manifolds of constant $\Phi$-holomorphic sectional curvature with non-integrable structure as well as transsasakian manifolds with non-integrable structure satisfied to axiom of $\Phi$-holomorphic planes is obtained.