Almost Cosymplectic p-Spheres and Almost Cosymplectic Metric Bi-Structures on Three-Manifolds

The purpose of this paper is to study almost cosymplectic p-spheres and almost cosymplectic metric bi-structures. Firstly, we show some properties of almost cosymplectic p-spheres.Then we introduce the notion of almost cosymplectic metric bi-structures and give some results on three dimensional manifolds admitting almost cosymplectic metric bi-structures. Moreover,we investigate three dimensional manifolds with almost cosymplectic metric bi-structures when the(1, 1)-type tensor fields h1 and h2 are being of codazzi type and cyclic parallel.