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Results tagged with riemannian-geometry
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user 1631
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.
8
votes
When is a Riemannian manifold an open subset of a complete one?
If I understand you right, you're assuming that there is already a Riemann metric chosen for you. This of course integrates to a distance function ("metric" in the sense of metric spaces) whether or …
4
votes
Testing for Riemannian isometry
Here's an irresponsible under-referenced response.
On the one hand, this is hard! Indeed, I've read somewhere --- not handy --- that this question lurks among quantum gravity's many difficulties. Fo …
- 1,987