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	<title>Symplectic form - Revision history</title>
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	<updated>2026-09-09T23:16:11Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://diffgeom.subwiki.org/w/index.php?title=Symplectic_form&amp;diff=1476&amp;oldid=prev</id>
		<title>Vipul: 1 revision</title>
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		<updated>2008-05-18T20:10:23Z</updated>

		<summary type="html">&lt;p&gt;1 revision&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 20:10, 18 May 2008&lt;/td&gt;
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		<author><name>Vipul</name></author>
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	<entry>
		<id>https://diffgeom.subwiki.org/w/index.php?title=Symplectic_form&amp;diff=1475&amp;oldid=prev</id>
		<title>Vipul at 05:50, 15 June 2007</title>
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		<updated>2007-06-15T05:50:35Z</updated>

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&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{differential form property}}&lt;br /&gt;
&lt;br /&gt;
==Definition==&lt;br /&gt;
&lt;br /&gt;
A differential 2-form is said to be a symplectic form if it satisfies the following:&lt;br /&gt;
&lt;br /&gt;
* It is a [[closed form]]&lt;br /&gt;
* On each tangent space, it is alternating and nondegenerate&lt;br /&gt;
&lt;br /&gt;
Equivalently, a symplectic form is the form associated with a [[symplectic manifold]].&lt;br /&gt;
&lt;br /&gt;
{{further|[[symplectic manifold]]}}&lt;br /&gt;
&lt;br /&gt;
==Relation with other properties==&lt;br /&gt;
&lt;br /&gt;
===Stronger properties===&lt;br /&gt;
&lt;br /&gt;
* [[Exact symplectic form]]&lt;br /&gt;
&lt;br /&gt;
===Weaker properties===&lt;br /&gt;
&lt;br /&gt;
* [[Closed form]]&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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