On nearly Kaehler geometry
Differential Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0110065,
title = {On nearly Kaehler geometry},
author = {Paul-Andi Nagy},
journal= {arXiv preprint arXiv:math/0110065},
year = {2007}
}
Comments
10 pages