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Results tagged with gt.geometric-topology
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user 121820
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).
11
votes
Locally conformally flat
The connected sum of two locally conformally flat manifolds can be equipped with a metrics which is locally conformally flat. To see this, recall that the product metric on $\mathbb{R} \times S^{n-1} …
- 1,713
5
votes
Finding a hyperbolic metric with geodesic boundary on a given Riemann surface
See Theorem 1(b) in the following paper; it is enough that the boundary is smooth.
Osgood, B.; Phillips, R.; Sarnak, P. Extremals of determinants of Laplacians. J. Funct. Anal. 80 (1988), no. 1, 148-- …
- 1,713
2
votes
Accepted
Expansion of metric near boundary of 3 dimensional Poincaré-Einstein/hyperbolic manifolds
This is only an answer to the request for references about the expansion and an interpretation of $h_2$ from the standpoint of the metric $x^2g$.
Theorem 7.4 in the book The Ambient Metric proves that …
- 1,713