Abstract:
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.