On a class of exact locally conformal cosymlectic manifolds

Abstract

An almost cosymplectic manifold M is a (2m+1)-dimensional oriented Riemannian manifold endowed with a 2-form Ω of rank 2m, a 1-form η such that Ωm Λ η≠0 and a vector field ξ satisfying iξΩ=0 and η(ξ)=1. Particular cases were considered in [3] and [6].

Keywords

• locally conformal cosymplectic manifold
• T-parallel connection
• infinitesimal homothety
• infinitesimal conformal transformation
• Hamiltonian vector field
• tangent bundle
• Liouville vector field
• complete lift
• mechanical system.