The Einstein condition on nearly Kähler six-manifolds
arXiv:2002.04673 · doi:10.1016/j.exmath.2020.10.002
Abstract
We review basic facts on the structure of nearly Kähler manifolds, focussing in particular on the six-dimensional case. A self-contained proof that nearly Kähler six-manifolds are Einstein is given by combining different known results. We finally rephrase the definition of nearly Kähler six-manifold in terms of a pair of partial differential equations.
23 pages. General minor revisions, Remark 5.4 and two references added. To appear in Expositiones Mathematicae