On noncommutative and pseudo-Riemannian geometry

Journal of Geometry and Physics

Volumn 56, Issue 2, 2006, Pages 175-195

  Strohmaier, Alexander ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

Noncommutative geometry; Noncommutative tori; Pseudo Riemannian

Indexed keywords

EID: 26844485098     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2005.01.005     Document Type: Article

References (22)

1. B. O'Neill Semi-Riemannian Geometry 1983 Academic Press
2. H. Baum Spin-Strukturen und Dirac-Operatoren über pseudoriemannschen Mannigfaltigkeiten (German) 1981 Teubner Leipzig
3. H. Baum, A remark on the spectrum of the Dirac operator on a pseudo-Riemannian spin manifolds, SFB288-preprint No. 136, 1994.
4. J. Bognar Indefinite Inner Product Spaces 1974 Springer
5. F. Cipriani D. Guido S. Scarlatti A remark on trace properties of K-cycles J. Oper. Theory 35 1996 179-189
6. A. Connes Noncommutative Geometry 1994 Academic Press
7. A. Connes Geometry from the spectral point of view Lett. Math. Phys. 34 1995 203-238
8. J. Dixmier Existence de traces non-normals C.R. Acad. Sci. Paris, Ser. A-B 262 1966 A1107-A1108
9. J.M. Gracia-Bondia J.C. Varilly H. Figueroa Elements of Noncommutative Geometry 2001 Birkhäuser
10. E. Hawkins Hamiltonian gravity and noncommutative geometry Commun. Math. Phys. 187 1997 471-489
11. W. Kalau M. Walze Gravity, noncommutative geometry and the Wodzicki residue J. Geom. Phys. 16 1995 327-344
12. D. Kastler The Dirac operator and gravitation Commun. Math. Phys. 166 1995 633-643
13. T. Kopf Spectral geometry of space-time Int. J. Mod. Phys. B 14 2000 2359
14. T. Kopf, M. Paschke, A spectral quadruple for de Sitter space, math-ph/ 0012012.
15. T. Kopf, M. Paschke, Spectral quadruples, math-ph/0105006.
16. G. Landi An Introduction to Noncommutative Spaces and Their Geometries 1997 Springer
17. J. Madore, An Introduction to Noncommutative Geometry, Lect. Notes Phys., vol. 543, 2000, p. 231.
18. G.N. Parfionov R.R. Zapatrin Connes duality in Lorentzian geometry J. Math. Phys. 41 2000 7122-7128
19. M. Reed B. Simon Functional Analysis I Revised and Enlarged Edition 1980 Academic Press
20. c structures for noncommutative manifolds, math-ph/0107013.
21. M.E. Taylor Pseudodifferential Operators 1981 Princeton University Press
22. J.C. Varilly, An Introduction to Noncommutative Geometry, physics/ 9709045.