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Results tagged with riemannian-geometry
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user 1463
Riemannian Geometry is a subfield of Differential Geometry, which specifically studies "Riemannian Manifolds", manifolds with "Riemannian Metrics", which means that they are equipped with continuous inner products.
14
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Accepted
Does any surface of constant curvature admit a cocompact group action?
As Uri Bader says in the comments, covering-space theory implies that this happens if and only if $\pi_1S$ is a normal subgroup of $\pi_1\Sigma$, where $\Sigma$ is some compact surface.
The cases of …
- 25.2k
3
votes
Existence of properly discontinuous and cocompact action
The question is phrased very generally, so I'm not sure if the following is what you're looking for. However, my answer to Does any surface of constant curvature admit a cocompact group action? might …
- 25.2k