# Is GR built on a manifold?

1. Jul 4, 2013

### friend

I understand that SR and GR should not be dependent on the coordinate system. But does GR depend on the existence of a manifold? As I recall, GR is formulated with a metric tensor. And tensors are only defined on manifold. Or is there a manifold independent GR?

Last edited: Jul 4, 2013
2. Jul 4, 2013