On a class of paracontact metric 3-manifolds

Abstract

The purpose of this paper is to classify paracontact metric $3$-manifolds $M^3$ such that the Ricci operator $S$ commutes with the endomorhism $\varphi$ of its tangent bundle $\Gamma (T{M}^3)$.

11 Pages

References in corpus (2)

• Non-existence of flat paracontact metric structures in dimension greater than or equal to five
• Almost Paracontact Manifolds

Cited by in corpus (1)

• Harmonic maps and para-Sasakian geometry