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Results tagged with isometries
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user 85934
2
votes
0
answers
42
views
On the minimum distance along an orbit
Let $\Gamma$ be a nontrivial group of isometries of $\mathbb{S}^n$, $n \geq 2$, acting properly discontinuously. …
- 2,095
-2
votes
1
answer
506
views
Local isometry implies covering map: nonempty boundary case [closed]
The following theorem is well known in the literature:
Let $M$ and $N$ be riemannian manifolds and let $f : M \to N$ be a local isometry. If $M$ is complete and $N$ is connected, then $f$ is a cov …
- 2,095