Properly Discontinuous Groups of Affine Transformations: A Survey
By Herbert Abels. 2001
90 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f374fc9535492eecf1e6c835acfdc49b6704f93e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- William M. Goldman
- Herbert Abels
- Gregory Margulis
- G. Soifer
- F. Labourie
- Anna Wienhard
- Olivier Y Guichard
- Andr'es Sambarino
In Mathematical Physics
- William M. Goldman
- Herbert Abels
- Gregory Margulis
- G. Soifer
- F. Labourie
- Anna Wienhard
- H. Oh
- Olivier Y Guichard
Citations in the corpus
- Recent Developments in Pseudo-Riemannian Geometry (2008, unknown): “2; 1/ [1], [6], [24].”
- On the Zariski Closure of the Linear Part of a Properly Discontinuous Group of Affine Transformations (2002, result): “For higher dimensions the existing results confirming the Auslander conjecture are proved under the assumption that the linear part l(Γ) of Γ belongs to some special subgroup of GLn(R) where l : Gn → GLn(R) denotes the natural homomorphism ([12, 14]). For a survey on existing results see [ 1 ].”
- Proper affine actions and geodesic flows of hyperbolic surfaces (2004, background): “The uniform positivity or negativity of ‰Œu implies Margulis’s “Opposite Sign Lemma” (Margulis’ [33], [34], Abels [1], Drumm [14], [17]) as a corollary.”