Reeb Flow Symmetry on 3-Dimensional Almost Paracosymplectic Manifolds

Abstract

Mainly, we prove that the Ricci operator Q of an 3-dimensional almost paracosymplectic manifold M is invariant along the Reeb flow, that is M satisfies L(xi)Q = 0 if and only if M is an almost paracosymplectic kappa-manifold with kappa not equal -1.