Published Paper
Inserted: 19 feb 2020
Last Updated: 5 apr 2023
Journal: Expositiones Mathematicae
Volume: 39
Number: 3
Pages: 384-410
Year: 2021
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.