Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constant

Abstract

We prove that an almost Kähler manifold (M, g, J) with dim M ≥ 8 and pointwise constant antiholomorphic sectional curvature is a complex space-form.

Keywords

• almost kähler manifold
• antiholomorphic sectional curvature
• complex space-form