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- W1643201210 abstract "We study almost Kahler manifolds whose curvature tensor satisfies the second curvature condition of Gray (shortly ${cal{AK}}_2$). This condition is interpreted in terms of the first canonical Hermitian connection. It turns out that this condition forces the torsion of this connection to be parallel in directions orthogonal to the Kahler nullity of the almost complex structure. We prove a local structure result for ${cal{AK}}_2$ manifolds, showing that the basic pieces are manifolds with parallel torsion and special almost Kahler manifolds, a class generalizing, to some algebraic extent, the class of 4-dimensional ${cal{AK}}_2$-manifolds. In the case of parallel torsion, the Einstein condition and the reducibility of the canonical Hermitian connection is studied." @default.
- W1643201210 created "2016-06-24" @default.
- W1643201210 creator A5063247706 @default.
- W1643201210 date "2003-01-08" @default.
- W1643201210 modified "2023-09-27" @default.
- W1643201210 title "Torsion in almost Kaehler geometry" @default.
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