Three-Dimensional Semi-Symmetric Almost <i>α</i>-Cosymplectic Manifolds

Abstract

The main objective of this paper is to study semi-symmetric almost α-cosymplectic three-manifolds. We present basic formulas for almost α-cosymplectic manifolds. Using curvature properties, we obtain some necessary and sufficient conditions on semi-symmetric almost α-cosymplectic three-manifolds. We obtain the main results under an additional condition. The paper concludes with two illustrative examples.

Keywords

• almost <i>α</i>-cosymplectic manifold
• almost <i>α</i>-Kenmotsu manifold
• almost cosymplectic manifold
• semi-symmetric space
• locally symmetric space