| LC control no. | sh2004000290 |
|---|---|
| Topical heading | Ricci flow |
| Variant(s) | Flow, Ricci |
| See also | Evolution equations Global differential geometry |
| Found in | Work cat.: 2004046148: The Ricci flow, c2004: CIP pref. (the Ricci flow is the geometric evolution equation in which one starts with a smooth Riemannian manifold and evolves its metric) MathWorld, Mar. 8, 2004 (The Ricci flow equation is the evolution equation, d/dt(g)=-2Rc, for a Riemannian metric (g), where Rc is the Ricci curvature tensor. Hamilton (1982) showed that there is a unique solution to this equation for an arbitrary smooth metric on a closed manifold over a sufficiently short time. Hamilton (1982, 1986) also showed that Ricci flow preserves positivity of the Ricci curvature tensor in three dimensions and the curvature operator in all dimensions) |
| Not found in | CRC concise encyc. math.; Encyc. dict. math.; Math. subj. classif. |
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