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	<updated>2026-04-06T11:39:02Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://www.vigyanwiki.in/index.php?title=Template:Riemannian_geometry&amp;diff=145192&amp;oldid=prev</id>
		<title>Indicwiki: 1 revision imported from :alpha:Template:Riemannian_geometry</title>
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		<updated>2023-04-29T04:56:11Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported from &lt;a href=&quot;https://alpha.indicwiki.in/index.php?title=Template:Riemannian_geometry&quot; class=&quot;extiw&quot; title=&quot;alpha:Template:Riemannian geometry&quot;&gt;alpha:Template:Riemannian_geometry&lt;/a&gt;&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 10:26, 29 April 2023&lt;/td&gt;
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		<id>https://www.vigyanwiki.in/index.php?title=Template:Riemannian_geometry&amp;diff=145191&amp;oldid=prev</id>
		<title>alpha&gt;Indicwiki: Created page with &quot;{{Navbox | name = Riemannian geometry | title = Riemannian geometry (Glossary) | state = {{{state|&lt;noinclude&gt;uncollapsed aut...&quot;</title>
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		<updated>2023-02-03T11:55:41Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Navbox | name = Riemannian geometry | title = &lt;a href=&quot;/index.php?title=Riemannian_geometry&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Riemannian geometry (page does not exist)&quot;&gt;Riemannian geometry&lt;/a&gt; (&lt;a href=&quot;/index.php?title=Glossary_of_Riemannian_and_metric_geometry&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Glossary of Riemannian and metric geometry (page does not exist)&quot;&gt;Glossary&lt;/a&gt;) | state = {{{state|&amp;lt;noinclude&amp;gt;uncollapsed aut...&amp;quot;&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 17:25, 3 February 2023&lt;/td&gt;
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		<title>Admin: 1 revision imported</title>
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		<updated>2022-12-13T04:46:15Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&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;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:16, 13 December 2022&lt;/td&gt;
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	<entry>
		<id>https://www.vigyanwiki.in/index.php?title=Template:Riemannian_geometry&amp;diff=41963&amp;oldid=prev</id>
		<title>wikipedia&gt;Eudamonic at 13:13, 1 September 2022</title>
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		<updated>2022-09-01T13:13:39Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Navbox&lt;br /&gt;
| name = Riemannian geometry&lt;br /&gt;
| title = [[Riemannian geometry]] ([[Glossary of Riemannian and metric geometry|Glossary]])&lt;br /&gt;
| state = {{{state|&amp;lt;noinclude&amp;gt;uncollapsed autocollapse expanded&amp;lt;/noinclude&amp;gt;&amp;lt;includeonly&amp;gt;autocollapse&amp;lt;/includeonly&amp;gt;}}}&lt;br /&gt;
&amp;lt;!-- | state = {{{state|{{{1|}}}}}} --&amp;gt;&lt;br /&gt;
| image = &lt;br /&gt;
| bodyclass = hlist&lt;br /&gt;
| selected = {{{1}}}&lt;br /&gt;
| above =&lt;br /&gt;
&lt;br /&gt;
| group1 = Basic concepts&lt;br /&gt;
| list1 =&lt;br /&gt;
* [[Curvature of Riemannian manifolds|Curvature]]&lt;br /&gt;
** [[Riemann curvature tensor|tensor]]&lt;br /&gt;
** [[Scalar curvature|Scalar]]&lt;br /&gt;
** [[Ricci curvature|Ricci]]&lt;br /&gt;
** [[Sectional curvature|Sectional]]&lt;br /&gt;
* [[Exponential map (Riemannian geometry)|Exponential map]]&lt;br /&gt;
* [[Geodesic]]&lt;br /&gt;
* [[Inner product space|Inner product]]&lt;br /&gt;
* [[Metric tensor]]&lt;br /&gt;
** [[Levi-Civita connection]]&lt;br /&gt;
** [[Covariant derivative]]&lt;br /&gt;
** [[Metric signature|Signature]]&lt;br /&gt;
** [[Raising and lowering indices]]/[[Musical isomorphism]]&lt;br /&gt;
* [[Parallel transport]]&lt;br /&gt;
* [[Riemannian manifold]]&lt;br /&gt;
* [[Pseudo-Riemannian manifold]]&lt;br /&gt;
* [[Riemannian volume form]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| group5 = Types of manifolds&lt;br /&gt;
| list5 = &lt;br /&gt;
* [[Hermitian manifold|Hermitian]]&lt;br /&gt;
* [[Hyperbolic manifold|Hyperbolic]]&lt;br /&gt;
* [[Kähler manifold|Kähler]]&lt;br /&gt;
* [[Kenmotsu manifold|Kenmotsu]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| group10 = &lt;br /&gt;
| list10 = &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| group20 = Main results&lt;br /&gt;
| list20 =&lt;br /&gt;
* [[Fundamental theorem of Riemannian geometry]]&lt;br /&gt;
* [[Gauss's lemma (Riemannian geometry)|Gauss's lemma]]&lt;br /&gt;
* [[Gauss–Bonnet theorem]]&lt;br /&gt;
* [[Hopf–Rinow theorem]]&lt;br /&gt;
* [[Nash embedding theorem]]&lt;br /&gt;
* [[Ricci flow]]&lt;br /&gt;
* [[Schur's lemma (Riemannian geometry)|Schur's lemma]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| group70 = &lt;br /&gt;
| list70 =&lt;br /&gt;
&lt;br /&gt;
| group85 = Generalizations&lt;br /&gt;
| list85 =&lt;br /&gt;
* [[Finsler manifold|Finsler]]&lt;br /&gt;
* [[Hilbert manifold|Hilbert]]&lt;br /&gt;
* [[Sub-Riemannian manifold|Sub-Riemannian]]&lt;br /&gt;
&lt;br /&gt;
| group95 = Applications&lt;br /&gt;
| list95 =&lt;br /&gt;
* [[General relativity]]&lt;br /&gt;
* [[Geometrization conjecture]]&lt;br /&gt;
* [[Poincaré conjecture]]&lt;br /&gt;
* [[Uniformization theorem]]&lt;br /&gt;
&lt;br /&gt;
}}&amp;lt;noinclude&amp;gt;&lt;br /&gt;
{{Documentation&lt;br /&gt;
 | content =&lt;br /&gt;
{{Collapsible option |statename=optional}}&lt;br /&gt;
}}&lt;br /&gt;
[[Category:Mathematics navigational boxes]]&lt;br /&gt;
&amp;lt;/noinclude&amp;gt;&lt;/div&gt;</summary>
		<author><name>wikipedia&gt;Eudamonic</name></author>
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