Source: wikibot/kahler-einstein-metric
= Kähler–Einstein metric
{wiki=Kähler–Einstein_metric}
A Kähler-Einstein metric is a special type of Riemannian metric that arises in differential geometry and algebraic geometry. It is associated with Kähler manifolds, which are a class of complex manifolds with a compatible symplectic structure. A Kähler manifold is a complex manifold \\( (M, J) \\) equipped with a Kähler metric \\( g \\), which is a Riemannian metric that is both Hermitian and symplectic.