The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
3-dimensional Lorentz space-forms and Seifert fiber spaces
Abstract
Table of Contents §1.Introduction 231 §2.Special features of the 3-dimensional Lorentz geometry of constant curvature 1 235 §3.Subgroups of PSL 2 (R) and PSL 2 (R) 239 §4.Subgroups of /oίSbo), the level of a subgroup 243 §5.Properly discontinuous subgroups of / 0 (^i) 245 §6.Space-forms with solvable fundamental groups 247 §7.Finiteness of Level 248 §8.Standard Lorentz orbifolds and Seifert orbifolds 252 §9.Topology of standard orbifolds 258 §10.Homogeneous space-forms 264 §11.
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“Kulkarni and Raymond [53] showed that a closed 3-manifold with a complete anti de Sitter structure is necessarily a Seifert manifold.”
From Lorentz spacetimes of constant curvature (2007) · cites this paper as [53]
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Cites
The Large Scale Structure of Space-Time
Hawking, S. W., & Ellis, G. F. R. (1973) · doi:10.1017/cbo9780511524646 · Cited by 10,624
Scott, P. (1983) · Bulletin of the London Mathematical Society · doi:10.1112/blms/15.5.401 · Cited by 1,431
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Thurston, W. P. (1982) · Bulletin of the American Mathematical Society · doi:10.1090/s0273-0979-1982-15003-0 · Cited by 1,350
Discrete Subgroups of Lie Groups
Raghunathan, M. S. (1972) · Springer eBooks · doi:10.1007/978-3-642-86426-1 · Cited by 1,078
Lectures on Three-Manifold Topology
Jaco, W. (1980) · Regional conference series in mathematics · doi:10.1090/cbms/043 · Cited by 702
On the Existence of Slices for Actions of Non-Compact Lie Groups
Palais, R. S. (1961) · The Annals of Mathematics · doi:10.2307/1970335 · Cited by 613
Topologie Dreidimensionaler Gefaserter Räume
Seifert, H. (1933) · Acta Mathematica · doi:10.1007/bf02398271 · Cited by 389
On the existence of a connection with curvature zero
Milnor, J. (1958) · Commentarii Mathematici Helvetici · doi:10.1007/bf02564579 · Cited by 363
Partitions of Unity in the Theory of Fibrations
Dold, A. (1963) · Annals of Mathematics · doi:10.2307/1970341 · Cited by 354
Oxtoby, J. C. (1980) · Graduate texts in mathematics · doi:10.1007/978-1-4684-9339-9 · Cited by 354
Research works printed but not linked: 5
- [2] P. E. Conner and F. Raymond, Actions of compact Lie groups on aspherical manifolds, Topology of Manifolds, Proc. Summer Institute, University of Georgia, Athens, 1969, Markham, Chicago 1970, 227-264.
- [6] J. Hempel, 3-manifolds, Annals of Math. Studies, No. 86, Princeton Univ. Press, Princeton, 1976.
- [8] R. S. Kulkarni, On manifolds with indefinite metrics, preprint, 1973.
- [14] R. S. Kulkarni and F. Raymond, Three-dimensional Lorentz space forms and Seifert fiber spaces, Differential Geometry Proc, Special Year, Md., 1981-82 (ed., R. Brooks, A. Gray and B. L. Reinhart), Progress in Math., Vol. 32, Birkhauser, Boston, 1983, 177-188.
- [16] S. MacLane, Homology, 3rd ed., Springer, Berlin, 1975.
Cited by
Topological components of spaces of representations
Goldman, W. M. (1988) · Inventiones Mathematicae · doi:10.1007/bf01410200 · Cited by 350
Lorentz spacetimes of constant curvature
Mess, G. (2007) · Geometriae Dedicata · doi:10.1007/s10711-007-9155-7 · Cited by 278
Nonstandard Lorentz space forms
Goldman, W. M. (1985) · Journal of Differential Geometry · doi:10.4310/jdg/1214439567 · Cited by 74
Lorentz spacetimes of constant curvature
Mess, G. (2007) · arXiv · Cited by 5
Metadata
- Authors
- Kulkarni, R. S., & Raymond, F.
- Venue
- Journal of Differential Geometry
- Publisher
- International Press of Boston
- Published
- 1985-01-01
- Volume
- 21
- Issue
- 2
- Pages
- 231-268
- ISSN
- 0022-040X
- Cited by
- 55
- References
- 29
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