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	<updated>2026-08-22T04:56:29Z</updated>
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	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Kelvin%E2%80%93Voigt_material&amp;diff=9910</id>
		<title>Kelvin–Voigt material</title>
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		<updated>2013-06-17T10:18:04Z</updated>

		<summary type="html">&lt;p&gt;124.171.233.222: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;An &#039;&#039;&#039;affine vector field&#039;&#039;&#039; (sometimes &#039;&#039;&#039;affine collineation&#039;&#039;&#039; or &#039;&#039;&#039;affine&#039;&#039;&#039;) is a [[projective vector field]] preserving [[geodesic]]s and preserving the [[affine parameter]]. Mathematically, this is expressed by the following condition: &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;(\mathcal{L}_X g_{ab})_{;c}=0&lt;br /&gt;
&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
&lt;br /&gt;
* [[Conformal vector field]]&lt;br /&gt;
* [[Curvature collineation]]&lt;br /&gt;
* [[Homothetic vector field]]&lt;br /&gt;
* [[Killing vector field]]&lt;br /&gt;
* [[Matter collineation]]&lt;br /&gt;
* [[Spacetime symmetries]]&lt;br /&gt;
&lt;br /&gt;
{{relativity-stub}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematical methods in general relativity]]&lt;/div&gt;</summary>
		<author><name>124.171.233.222</name></author>
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