- #1
TrickyDicky
- 3,507
- 27
One of the properties of the unique Levi-Civita connection is that it preserves the metric tensor at each point's tangent space, allowing the definition of invariant intervals between points in the manifold. I'd be interested in clarifying: when the metric preserved by the L-C connection is a PseudoRiemannian metric, the PseudoRiemannian manifold is a:
-pseudometric space
-metric space
-none of the above
-pseudometric space
-metric space
-none of the above