# Implication of the bilinear

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1. Jan 3, 2016

### PhyAmateur

What does it mean that a Killing vector and a total differential of a certain theory are related to bilinears?

In other words, why would bilinears (e.g. of the forms $<\gamma_0\epsilon, \gamma_5\gamma_{\mu}\epsilon>$ and $<\gamma_0\epsilon, \gamma_{\mu}\epsilon>$ tell us anything about differential forms or killing vectors? Is this their usual usage?

My question arises from a footnote I read on here in this link where the first is a total differential and the second is Killing vector.

Last edited: Jan 3, 2016
2. Jan 4, 2016