# Local Conformal Transformations:Coordinate or metric transformations?

1. Aug 24, 2014

### Johanna222

Hello,

I'm wondering what the exact definition of a local conformal transformation is, in the context of General Relativity (/Shape Dynamics)

To be more precise:
1. Are local conformal transformations coordinate transformations or scalar transformations of the metric?
2. If they are coordinate transformations, are they of the form $\vec{x} \mapsto C(x^{\mu})\vec{x}$, with $C(x^{\mu})$ a differentiable function?

Good evening to you all!

Last edited: Aug 24, 2014
2. Aug 28, 2014

### Greg Bernhardt

I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?