Ricci-flat manifold

From Wikipedia, the free encyclopedia

You have new messages (last change).

In mathematics, Ricci-flat manifolds are Riemannian manifolds whose Ricci tensor vanishes. In physics, they are important because they represent vacuum solutions to Einstein's equations. Ricci-flat manifolds are special cases of Einstein manifolds.

Ricci-flat manifolds, in general, have restricted holonomy groups. Important cases include Calabi-Yau manifolds and hyperkähler manifolds.

 This geometry-related article is a stub. You can help Wikipedia by expanding it.
Retrieved from "http://en.wikipedia.org../../../r/i/c/Ricci-flat_manifold.html"