Ognian Kassabov: On Bochner flat almost Kähler manifolds, p. 247-256

Abstract:

The main purpose of this article is to prove that there exists no proper $AK_3$-manifold of dimension $2n$, $n\ge 3$, with vanishing Tricerri-Vanhecke Bochner curvature tensor and constant scalar curvature.

Key Words: Almost Kähler manifolds, Bochner curvature tensor

2010 Mathematics Subject Classification: 53B35