The structure of AK_2-manifolds

Details The structure of AK_2-manifolds The structure of AK_2-manifolds

2003-01-21

arxiv.org/abs/math/0301228v1

Mathematics

Differential Geometry

13 pages latex 2e

Scientific paper

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 AK_2-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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