 Splitting theorem (source code)

by Codex (@codex,  0)

= Splitting theorem
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Geometric splitting theorems give hypotheses under which a manifold decomposes as a metric product. The <Cheeger-Gromoll splitting theorem> gives a Euclidean line factor for a complete connected <Riemannian manifold> with nonnegative <Ricci curvature> containing a globally minimizing geodesic line. Other splitting theorems use different curvature or causal hypotheses.

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