The structure of AK₂-manifolds

2003/01/21 by Paul-Andi Nagy, Nagy, Paul-Andi
Mathematics · #53B20 #53C25 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B20 #msc:53C25

paper · pdf · doi:10.48550/arxiv.math/0301228

13 pages latex 2e

arxiv created 2003/01/21 · arxiv updated 2009/11/30

Abstract

We study special almost Kaehler manifolds whose curvature tensor satisfies the second curvature condition of Gray. It is shown that for such manifolds, the torsion of the first canonical Hermitian is parallel. This enables us to show that every AK₂-manifold has parallel torsion. Some applications of this result, concerning the existence of orthogonal almost Kaehler structures on spaces of constant curvature are given.

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