As far as i understand, the full symmetry of relativity is conformal symmetry. This is represented by the conformal group $ \operatorname{Conf}(1, 3) $ Of Minkowski spacetime which is $ \mathbb{R}^{1, 3} $
This has a very useful amount of information online, however i was wondering about a generalisation of this concept. Both for a pseudo-euclidean space of any signature $ \mathbb{R}^{p, q} $ and for any general manifold $ \mathcal{M} $ which would appear in general relativity.
