The DOI matches its Crossref record.
COMPLETE FLAT LORENTZ 3-MANIFOLDS WITH FREE FUNDAMENTAL GROUP
Abstract
this paper we give a new proof of this result, using ideas from Margulis' original proof [3, 4] as well as geometric conditions due to the first author [1]. Let R
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In the citing paper
“Gallo [42] actually shows that given a homomorphism from the fundamental group of a surface to SL 2 C with image not conjugate into SU (2) nor into the stabilizer of a point or pair of points in CP 1 , there is a decomposition of the surface into pairs of pants, such that the holonomy of any pair of pants is quasifuchsian.”
From Lorentz spacetimes of constant curvature (2007) · cites this paper as [42]
In the citing paper
“It is known that every homomorphism of the fundamental group of a closed surface of genus g to SL 2 C with image which is not conjugate into SU (2) nor into the stabilizer of a point or a pair of points in CP 1 is the holonomy of a projective structure [42]”
From Lorentz spacetimes of constant curvature (2007) · cites this paper as [42]
Citations
Cited by
Sorted by citations
Lorentz spacetimes of constant curvature
Mess, G. (2007) · Geometriae Dedicata · doi:10.1007/s10711-007-9155-7 · Cited by 278
Lorentz spacetimes of constant curvature
Mess, G. (2007) · arXiv · Cited by 5
Metadata
- Authors
- DRUMM, T. A., & GOLDMAN, W. M.
- Affiliations
- Alfred P. Sloan Foundation (US)
- ORCID
- GOLDMAN, WILLIAM M.
- Venue
- International Journal of Mathematics
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1990-06
- Volume
- 01
- Issue
- 02
- Pages
- 149-161
- ISSN
- 0129-167X (ISSN-L)
- 1793-6519
- OpenAlex
- W2043469819
- Cited by
- 38
- References
- 0
- Citations by year
- 2022: 2 · 2020: 1 · 2016: 2 · 2015: 1 · 2014: 3 · 2012: 2
- FWCI
- 1.17
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Mathematics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Keywords
- complete Riemannian manifolds, Lorentzian geometry, fundamental group
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