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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

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Cite this as:

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

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