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Results tagged with gt.geometric-topology
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user 2497
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
27
votes
2
answers
3k
views
Is there a Chern-Gauss-Bonnet theorem for orbifolds?
There's a Gauss-Bonnet theorem for compact 2-orbifolds(due to Satake, I think), which gives a relation between the curvature of a Riemannian orbifold and the orbifold topology(i.e. taking into account …
- 1,665
3
votes
2
answers
2k
views
Cone angles for Riemannian metrics in polar coordinates
This is the simplest case of a question that's been bugging me for a while: say we have a Riemannian metric in polar coordinates on a $(2-d)$ surface:
$$
g=dr^2+f^2(r, \theta;)d\theta^2,
$$ such that …
- 1,665