Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with hyperbolic-geometry
Search options answers only
not deleted
user 1573
6
votes
center of fundamental group of finite volume-hyperbolic orbifold
Any lattice in a hyperbolic space acts as a convergence group on the sphere at infinity. Thus it suffices to prove the following:
Lemma
If $G$ has a minimal convergence group action on a set $S$ of …
- 29.1k
3
votes
Fundamental group of a thick part of hyperbolic manifold
By Margulis lemma, components of the $\varepsilon$-thin part are cusps or $\varepsilon$-tubes, so the interior of the $\varepsilon$-part is $M$ with cusps chopped off, and a finite (possibly empty) co …
- 29.1k
6
votes
Accepted
8
votes
F→E→B bundle with B,E,F hyperbolic: possible?
Ryan addressed the (easy) case when the fiber has dimension $>2$. The case when the fiber is $2$-dimensional is a well-known (and I think still open) problem with quite a bit of recent activity by the …
- 29.1k
19
votes
Accepted
Negative sectional curvature and constant curvature
Sullivan proved that every closed hyperbolic manifold has a stably parallelizable finite cover. This is not true for say complex hyperbolic manifolds (of real dimension $>2$). See Farrell's "Lectures …
18
votes
Accepted
Does a compact negatively curved manfiold of dimension 4 admit a cover of finite degree?
This is a well-known open problem. In fact, there are very few tools for studing general negatively curved manifolds. Even in dimension 3 it is unknown (I think) how to prove existence of proper finit …
- 29.1k
5
votes
Lattices of PU(n,1) with large abelianization
Studying Betti numbers of lattices of $SU(p, q)$ is a classical subject and I barely know its history so let me just give some pointers to the literature focusing on $q=1$.
Some examples of lattice …
- 29.1k
3
votes
Accepted
Hyperbolization with word-hyperbolic fundamental group
Charney-Davis in Strict hyperbolization showed how to make $N$ locally CAT($-1$), provided $M$ is PL.
Ontaneda in Riemannian hyperbolization showed how to make $N$ a Riemannian manifold of negative se …
- 29.1k
10
votes
Are negatively pinched manifold locally conformally flat?
Regarding vanishing rational Pontryagin classes (which do vanish for conformally flat manifolds):
Recent result of Ontaneda gives examples in each dimension $\ge 4$ of closed manifolds with nonzero r …
- 29.1k
3
votes
Weil's theorem about maps from a discrete group to a Lie group.
I think that
a) a good place to start is to read pages 60-72 of Misha Kapovich's book "Hyperbolic manifolds and discrete groups".
b) the right context for your question 1 is to consider relative re …
- 29.1k