Three-dimensional affine crystallographic groups
Open accessIntegrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
A covering of a compact Riemannian manifold with non-amenable deck group has spectrum bounded away from zero.
“A covering of a compact Riemannian manifold with non-amenable deck group has spectrum bounded away from zero, by Brooks's theorem [45]”
From Lorentz spacetimes of constant curvature (2007) · cites this paper as [45]
Cites
Humphreys, J. E. (1975) · Graduate texts in mathematics · doi:10.1007/978-1-4684-9443-3 · Cited by 2,138 · see citing works
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Lorentz spacetimes of constant curvature
Mess, G. (2007) · Geometriae Dedicata · doi:10.1007/s10711-007-9155-7 · Cited by 278 · see citing works
Lorentz spacetimes of constant curvature
Mess, G. (2007) · arXiv · Cited by 5 · see citing works
- Authors
- Fried, D., & Goldman, W. M.
- Affiliations
- Institut des Hautes Études Scientifiques (FR)
- Massachusetts Institute of Technology (US)
- ORCID
- Goldman, William M
- Venue
- Advances in Mathematics
- Publisher
- Elsevier BV
- Published
- 1983-01
- Volume
- 47
- Issue
- 1
- Pages
- 1-49
- ISSN
- 0001-8708 (ISSN-L)
- OpenAlex
- W2143305397
- Cited by
- 192
- References
- 1
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 5 · 2023: 1 · 2022: 4 · 2021: 10 · 2020: 7 · 2019: 4 · 2018: 2 · 2017: 7 · 2016: 5 · 2015: 8 · 2014: 6 · 2013: 6 · 2012: 6
- FWCI
- 3.94
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Advances in Mathematics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Algebra and Geometry
- Keywords
- proper discontinuous actions, polynomial automorphisms, closed 3-manifolds, affine structures, fundamental groups of 3-manifolds
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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