On nearly Kaehler geometry

Paul-Andi Nagy

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arXiv · math/0110065

On nearly Kaehler geometry

Paul-Andi Nagy

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Abstract

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.

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BibTeX RIS

Paul-Andi Nagy. 2001-10-05. On nearly Kaehler geometry. https://arxiv.org/abs/math/0110065

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