Algebraic reduction of certain almost Kaehler manifolds

Details Algebraic reduction of certain almost Kaehler manifolds Algebraic reduction of certain almost Kaehler manifolds

2003-02-24

arxiv.org/abs/math/0302281v1

Mathematics

Differential Geometry

latex 2e, 16 pages

Scientific paper

We study almost Kaehler manifolds whose curvature tensor satisfies the third curvature condition of Gray. We show that the study of manifolds within this class reduces to the study of a subclass having the property that the torsion of the first canonical Hermitian connection has the simplest possible algebraic form. This allows to understand the structure of the Kaehler nullity of an almost Kaehler manifold with parallel torsion.

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