Geometria Complessa e Geometria Differenziale
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G. Russo

The Einstein condition on nearly Kähler six-manifolds

created by russo on 19 Feb 2020
modified on 05 Apr 2023


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

ArXiv: 2002.04673 PDF


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.

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