Source: wikibot/lebrun-manifold

= Lebrun manifold
{wiki=Lebrun_manifold}

The Lebrun manifold, also known as the Lebrun-Simpson manifold, is an important example in the study of Riemannian geometry and in the context of \\(4\\)-manifolds. It is a complex manifold that can be described as a Kähler surface. Specifically, it is notable for being a non-Kähler symplectic manifold, and it can be constructed as a particular type of complex algebraic surface.