A new topology on the space of lorentzian metrics on a fixed manifold

Classical and Quantum Gravity

Volumn 19, Issue 23, 2002, Pages 6075-6107

  Noldus, Johan ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036446967     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/19/23/313     Document Type: Article

References (25)

1. Yosida K 1978 Functional Analysis (Berlin: Springer)
2. Keller H H 1974 Differential Calculus in Locally Convex Space (Lecture Notes in Mathematics, vol 417) (Berlin: Springer)
3. Dubinsky E 1979 The Structure of Nuclear Fréchet Spaces (Lecture Notes in Mathematics, vol 720) (Berlin: Springer)
4. Greenleaf F P 1969 Invariant Means on Topohgical Groups (Van Nostrand Mathematical Studies, vol 16)
5. Pier J-P 1984 Amenable Locally Compact Groups (New York: Wiley)
6. Higgins P J 1974 An Introduction to Topological Groups (London Mathematical Society Lecture Note Series, vol 15) (Cambridge: Cambridge University Press)
7. Kriele M 1999 Spacetime (Berlin: Springer)
8. Hawking S W and Ellis G F R 1973 The Large Scale Structure of Space-Time (Cambridge: Cambridge University Press)
9. Jost J 1998 Riemannian Geometry and Geometric Analysis (Berlin: Springer)
10. Hawking S W, King A R and McCarthy P J 1976 A new topology for curved space-time which incorporates the causal, differential and conformal structures J. Math. Phys. 17 174
11. Bombelli L and Sorkin R D 1991 When are two Lorentzian metrics close? unpublished
12. Bombelli L and Meyer D A 1989 The origin of Lorentzian geometry Phys. Lett. A 1414 226-8
13. Bombelli L 2000 Statistical Lorentzian geometry and the closeness of Lorentzian manifolds J. Math. Phys. 41 6944-58 (Preprint gr-qc/0002053)
14. Ambjørn J. Carfora M and Marzuoli A 1997 The Geometry of Dynamical Triangulations (Berlin: Springer)
15. Donaldson S 1998 Connections, cohomology and the intersectioin forms of 4-manifolds Ibidem 24 275 Donaldson S 1983 An application of gauge theory to the topology of 4-manifolds J. Diff. Geom. 8 269-316
16. Donaldson S 1998 Connections, cohomology and the intersectioin forms of 4-manifolds Ibidem 24 275 Donaldson S 1983 An application of gauge theory to the topology of 4-manifolds J. Diff. Geom. 8 269-316
17. Borde A, Dowker H F, Garcia R S, Sorkin R D and Surya S 1999 Causal continuity in degenerate spacetimes Preprint gr-qc/9901063
18. Abbati M C and Mania A 1999 On differential structure for projective limits of manifolds J. Geom. Phys. 29 35-63
19. Balanzat M M 1960 La differentielle d'Hadamard-Fréchet dans les espaces vectoriels topologiques C. R. Acad. Sci. Paris 251 2459-61
20. Fröhlicher A and Kriegl A 1988 Linear Spaces and Differentiation Theory (New York: Wiley)
21. Kriegl A and Michor P W 1997 The Convenient Setting of Global Analysis (Am. Math. Soc. Math. Surv. Mon. 53)
22. Michor P W 1980 Manifolds of Differentiate Mappings (Orpington: Shiva)
23. Kelley J L 1955 General Topology (Princton NJ: Van Norstrand)
24. Szabados L B 1987 Causal measurability in chronological spaces Gen. Rel. Grav. 19 1091-100
25. Page W 1978 Topological Uniform Structures (New York: Wiley)