On nearly Kaehler geometry

Details On nearly Kaehler geometry On nearly Kaehler geometry

2001-10-05

arxiv.org/abs/math/0110065v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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

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