On 3-Dimensional Contact Metric Generalized (κ, μ)-Space Forms.

The present paper deals with a study of 3-dimensional contact metric generalized (κ, μ)-space forms. We obtained necessary and sufficient condition for a 3-dimensional contact metric generalized (κ, μ)-space form with Q... = ...Q to be of constant curvature. We also obtained some conditions of such space forms to be pseudosymmetric and ξ-projectively flat, respectively. [ABSTRACT FROM AUTHOR]