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#splitting_theorem

Splitting theorem

On when a complete Riemannian manifold with nonnegative Ricci curvature is a product space

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.

Mon 22nd

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Splitting theorem Splitting Geroch's splitting theorem Chebotarev's density theorem Poisson manifold Riemannian geometry List of theorems Rank–nullity theorem Jeff Cheeger Abel–Ruffini theorem
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