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Last updated: Mon Jan 5 2009

Created, developed, and nurtured by Eric Weisstein
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Calculus and Analysis > Differential Geometry > Tensor Analysis >

Killing's Equation

The equation defining Killing vectors.

L_Xg_(ab)=X_(a;b)+X_(b;a)=2X_((a;b))=0,

where L is the Lie derivative and X_(b;a) is a covariant derivative.

SEE ALSO: Killing Form, Killing Vectors, Lie Derivative




CITE THIS AS:

Weisstein, Eric W. "Killing's Equation." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/KillingsEquation.html

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