https://diffgeom.subwiki.org/w/index.php?action=history&feed=atom&title=Hamilton%27s_theorem_on_Ricci_flowsHamilton's theorem on Ricci flows - Revision history2026-04-09T18:33:04ZRevision history for this page on the wikiMediaWiki 1.41.2https://diffgeom.subwiki.org/w/index.php?title=Hamilton%27s_theorem_on_Ricci_flows&diff=668&oldid=prevVipul: 1 revision2008-05-18T19:46:47Z<p>1 revision</p>
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</td></tr></table>Vipulhttps://diffgeom.subwiki.org/w/index.php?title=Hamilton%27s_theorem_on_Ricci_flows&diff=667&oldid=prevVipul at 09:26, 2 September 20072007-09-02T09:26:46Z<p></p>
<p><b>New page</b></p><div>==Statement==<br />
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Let <math>M</math> be a compact oriented 2-dimensional [[differential manifold]] and <math>g</math> be a [[Riemannian metric]] on <math>M</math>. Then the following are true:<br />
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* If <math>M</math> is not diffeomorphic to the [[2-sphere]], then <math>g</math> converges to a [[constant-curvature metric]] under the [[Ricci flow]]<br />
* If <math>M</math> is diffeomorphic to the [[2-sphere]] and <math>g</math> has positive Gaussian curvature everywhere, then <math>g</math> converges to a [[constant-curvature metric]] under the [[Ricci flow]]</div>Vipul