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arXiv · 2002.04673

The Einstein condition on nearly K\"ahler six-manifolds

Giovanni Russo
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Abstract

We review basic facts on the structure of nearly K\"ahler manifolds, focussing in particular on the six-dimensional case. A self-contained proof that nearly K\"ahler six-manifolds are Einstein is given by combining different known results. We finally rephrase the definition of nearly K\"ahler six-manifold in terms of a pair of partial differential equations.

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Giovanni Russo. 2020-02-11. The Einstein condition on nearly K\"ahler six-manifolds. https://doi.org/10.1016/j.exmath.2020.10.002

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