Three classes of pseudosymmetric contact metric 3-manifolds

Florence Gouli-Andreou and Evaggelia Moutafi

Vol. 245 (2010), No. 1, 57–77

DOI: 10.2140/pjm.2010.245.57

Abstract

We study the class of pseudosymmetric contact metric 3-manifolds satisfying Qξ = ρξ, where ρ is a smooth function constant along the characteristic flow. We classify the complete pseudosymmetric contact metric 3-manifolds of constant type satisfying Qξ = ρξ, where ρ is a smooth function, and we also classify the complete (κ,μ,ν)-contact metric pseudosymmetric 3-manifolds of constant type.

Keywords

pseudosymmetric manifolds, contact metric 3-manifolds

Mathematical Subject Classification 2000

Primary: 53C15, 53C25, 53D10

Secondary: 53C35

Milestones

Received: 29 September 2008

Accepted: 28 July 2009

Published: 20 January 2010