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

Abstract

The present paper deals with a study of 3-dimensional contact metric generalized(k,μ)-space forms. We obtained necessary and sufficient condition for a 3-dimensional contact metric generalized(k,μ)-space form withQϕ=ϕQto be of constant curvature. We also obtained some conditions of such space forms to be pseudosymmetric andξ-projectively flat, respectively.

f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms

“…Again a contact metric manifoldM 2n+1 (φ, ξ, η, g) is said to be a generalized (k, µ)-space [4] if its curvature tensorR satisfies the [14] R…”