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Results tagged with negative-curvature
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user 25511
11
votes
1
answer
534
views
Topological rigidity for negatively curved manifolds?
I was wondering if two compact oriented manifold carrying a Riemannian metric with negative sectional curvature, whose fundamental groups are isomorphic, are necessarily diffeomorphic (or homeomorphic …
- 2,696
5
votes
2
answers
542
views
Are ramified covering of negatively curved manifolds negatively curved?
Gromov and Thurston proved in "Pinching constants for hyperbolic manifolds" that any finite ramified covering of a compact hyperbolic manifold, along a codimension $2$ totally geodesic submanifold, ca …
- 68.9k