Book Review
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MathSciNet review:
1567380
Full text of review:
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Book Information:
Authors:
John K. Beem and
Paul E. Ehrlich
Title:
Global Lorentzian geometry
Additional book information:
Pure and Applied Mathematics, vol. 67, Dekker, New York, 1981, vi + 460 pp.
André Avez, Essais de géométrie riemannienne hyperbolique globale. Applications à la relativité générale, Ann. Inst. Fourier (Grenoble) 13 (1963), no. fasc. 2, 105–190 (French). MR 167940
E. Calabi and L. Markus, Relativistic space forms, Ann. of Math. (2) 75 (1962), 63–76. MR 133789, DOI 10.2307/1970419
Robert Geroch, Domain of dependence, J. Mathematical Phys. 11 (1970), 437–449. MR 270697, DOI 10.1063/1.1665157
Detlef Gromoll and Wolfgang Meyer, On complete open manifolds of positive curvature, Ann. of Math. (2) 90 (1969), 75–90. MR 247590, DOI 10.2307/1970682
S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time, Cambridge Monographs on Mathematical Physics, No. 1, Cambridge University Press, London-New York, 1973. MR 0424186
S. W. Hawking and R. Penrose, The singularities of gravitational collapse and cosmology, Proc. Roy. Soc. London Ser. A 314 (1970), 529–548. MR 264959, DOI 10.1098/rspa.1970.0021
Robert Hermann, An incomplete compact homogeneous Lorentz metric, J. Math. Mech. 13 (1964), 497–501. MR 0162207
S. B. Myers, Riemannian manifolds with positive mean curvature, Duke Math. J. 8 (1941), 401–404. MR 4518
Roger Penrose, Conformal treatment of infinity, Relativité, Groupes et Topologie (Lectures, Les Houches, 1963 Summer School of Theoret. Phys., Univ. Grenoble), Gordon and Breach, New York, 1964, pp. 565–584. MR 0195547
Roger Penrose, Gravitational collapse and space-time singularities, Phys. Rev. Lett. 14 (1965), 57–59. MR 172678, DOI 10.1103/PhysRevLett.14.57
11. R. Penrose, Structure of space-time Battelle Rencontres, ed. (C. M. De Witt and J. A. Wheeler, eds. ), Benjamin, New York, 1968.
Hans-Jürgen Seifert, Global connectivity by timelike geodesics, Z. Naturforsch 22a (1967), 1356–1360. MR 0225556
- 1.
- A. Avez, Essais de géométrie riemanniene hyperbolique globale. Applications à la relativité generale, Ann. Inst. Fourier (Grenoble) 132 (1963), 105-190. MR 0167940
- 2.
- E. Calabi and L. Marcus, Relativistic space forms, Ann. of Math. 75 (1962), 63-76. MR 133789
- 3.
- R. Geroch, The domain of dependence, J. Math. Phys. 11 (1970), 437-449. MR 270697
- 4.
- D. Gromoll and W. Meyer, On complete open manifolds of positive curvature, Ann. of Math. 90(1969), 75-90. MR 247590
- 5.
- S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time, Cambridge University Press, London-New York, 1973. MR 424186
- 6.
- S. W. Hawking and R. Penrose, The singularities of gravitational collapse and cosmology, Proc. Roy. Soc. London Ser. A314 (1970), 529-548. MR 264959
- 7.
- R. Hermann, An incomplete compact homogeneous Lorentz metric, J. Math. Mech. 13 (1964), 497-502. MR 162207
- 8.
- S. B. Myers, Riemannian manifolds with positive mean curvature, Duke Math. J. 8 (1941), 401-404. MR 4518
- 9.
- R. Penrose, Conformal treatment of infinity, Relativity, Groups and Topology, C. M. de Witt and B. de Witt, (eds. ), Les Houches Summer School, 1963, Gordon and Breach, New York, 1964 MR 195547
- 10.
- R. Penrose, Gravitational collapse and space-time singularities, Phys. Rev. Lett. 14 (1965), 57-59. MR 172678
- 11.
- R. Penrose, Structure of space-time Battelle Rencontres, ed. (C. M. De Witt and J. A. Wheeler, eds. ), Benjamin, New York, 1968.
- 12.
- H. -J. Seifert, Global connectivity by timelike geodesics, Zs. f. Naturforsche. 22a (1967), 1356-1360. MR 225556
Review Information:
Reviewer:
Gregory J. Galloway
Journal:
Bull. Amer. Math. Soc.
7 (1982), 427-433
DOI:
https://doi.org/10.1090/S0273-0979-1982-15058-3
