Splitting theorem
On when a complete Riemannian manifold with nonnegative Ricci curvature is a product space / From Wikipedia, the free encyclopedia
In the mathematical field of differential geometry, there are various splitting theorems on when a pseudo-Riemannian manifold can be given as a metric product. The best-known is the Cheeger–Gromoll splitting theorem for Riemannian manifolds, although there has also been research into splitting of Lorentzian manifolds.