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_{ξ}Q=0 if and only if M is an almost paracosymplectic κ-manifold with κ≠-1.