https://diffgeom.subwiki.org/w/index.php?action=history&feed=atom&title=ImmersionImmersion - Revision history2026-04-08T04:48:00ZRevision history for this page on the wikiMediaWiki 1.41.2https://diffgeom.subwiki.org/w/index.php?title=Immersion&diff=720&oldid=prevVipul: 1 revision2008-05-18T19:47:01Z<p>1 revision</p>
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</td></tr></table>Vipulhttps://diffgeom.subwiki.org/w/index.php?title=Immersion&diff=719&oldid=prevVipul at 08:46, 27 August 20072007-08-27T08:46:07Z<p></p>
<p><b>New page</b></p><div>==Definition==<br />
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Let <math>M</math> and <math>N</math> be [[differential manifold]]s. A [[differentiable map]] <math>f:M \to N</math> is termed an '''immersion''' at a point <math>m \in M</math>, the induced map <math>df_m: T_mM \to T_{F(m)}N</math> is injective.<br />
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<math>f</math> is called an immersion if it is an immersion at every point in <math>M</math>.<br />
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We also say that <math>M</math> is an ''immersed manifold'' in <math>N</math>.<br />
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==Related notions==<br />
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* [[Submersion]], which is the same as a regular map</div>Vipul