On nearly Kaehler geometry

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We consider complete nearly Kähler manifolds with the canonical Hermitian connection. We prove some metric properties of strict nearly Kähler manifolds and give a sufficient condition for the reducibility of the canonical Hermitian connection. A holonomic condition for a nearly Kähler manifold to be a twistor space over a quaternionic Kähler manifold is given. This enables us to give classification results in 10-dimensions.
10 pages

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Differential Geometry, 53C12, 53C24, 5C28, 53C29

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http://salesiana.dossiersoluciones.com/handle/123456789/62334

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110065
 http://arxiv.org/abs/math/0110065

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arXiv