Abstract

We classify the pseudosymmetric contact metric 3-manifolds that satisfy ∇_ξτ = 0, and also the pseudosymmetric contact metric 3-manifolds of constant type satisfying ∇_ξτ = 2aτφ, where a is a smooth function.

Keywords

contact metric 3-manifolds, pseudosymmetric manifolds

Mathematical Subject Classification

Primary: 53D10, 53C25, 53C15

Secondary: 53C35

Authors