http://wiki.karljones.com/index.php?action=history&feed=atom&title=Killing_vector_field 2026-10-23T20:51:48Z Revision history for this page on the wiki MediaWiki 1.24.2 http://wiki.karljones.com/index.php?title=Killing_vector_field&diff=13705&oldid=prev 2016-04-26T00:23:06Z

<p>‎<span dir="auto"><span class="autocomment">External links</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 00:23, 26 April 2016</td> </tr><tr><td colspan="2" class="diff-lineno">Line 15:</td> <td colspan="2" class="diff-lineno">Line 15:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [https://en.wikipedia.org/wiki/Killing_vector_field Killing vector field] @ Wikipedia</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [https://en.wikipedia.org/wiki/Killing_vector_field Killing vector field] @ Wikipedia</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Mathematics]]</ins></div></td></tr> </table>

Karl Jones http://wiki.karljones.com/index.php?title=Killing_vector_field&diff=8176&oldid=prev 2016-02-13T01:16:48Z

<p>Created page with &quot;In <a href="/index.php/Mathematics" title="Mathematics">mathematics</a>, a &#039;&#039;&#039;Killing vector field&#039;&#039;&#039; (often just &#039;&#039;&#039;Killing field&#039;&#039;&#039;), named after <a href="/index.php?title=Wilhelm_Killing&amp;action=edit&amp;redlink=1" class="new" title="Wilhelm Killing (page does not exist)">Wilhelm Killing</a>, is a <a href="/index.php?title=Vector_field&amp;action=edit&amp;redlink=1" class="new" title="Vector field (page does not exist)">vector field</a> on a Riemannian manifold (or pseudo-R...&quot;</p> <p><b>New page</b></p><div>In [[mathematics]], a '''Killing vector field''' (often just '''Killing field'''), named after [[Wilhelm Killing]], is a [[vector field]] on a Riemannian manifold (or pseudo-Riemannian manifold) that [[preserves the metric]].<br /> <br /> == Description ==<br /> <br /> Killing fields are the infinitesimal generators of isometries; that is, flows generated by Killing fields are continuous isometries of the manifold.<br /> <br /> More simply, the flow generates a symmetry, in the sense that moving each point on an object the same distance in the direction of the Killing vector field will not distort distances on the object.<br /> <br /> == See also ==<br /> <br /> * [[Mathematics]]<br /> * [[Vector field]]<br /> <br /> == External links ==<br /> <br /> * [https://en.wikipedia.org/wiki/Killing_vector_field Killing vector field] @ Wikipedia</div>

Karl Jones