Normal frames and the validity of the equivalence principle: III. The case along smooth maps with separable points of self-intersection

Journal of Physics A: Mathematical and General

Volumn 31, Issue 4, 1998, Pages 1287-1296

  Iliev, Bozhidar Z ^a  

^a INSTITUTE FOR NUCLEAR RESEARCH AND NUCLEAR ENERGY   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032579117     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/4/016     Document Type: Article

References (16)

1. Misner C W, Thorne K S and Wheeler J A 1973 Gravitation (San Francisco, CA: Freeman)
2. Schouten J A 1954 Ricci-Calculus: An Introduction in Tensor Analysis and its Geometrical Applications 2nd edn (Berlin: Springer)
3. Kobayashi S and Nomizu K 1963 Foundations of Differential Geometry vol I (New York: Interscience)
4. Lovelock D and Rund H 1975 Tensors, Differential Forms, and Variational Principals (New York: Wiley-Interscience)
5. Rashevskii P K 1967 Riemannian Geometry and Tensor Analysis (Moscow: Nauka) (in Russian)
6. Iliev B Z 1992 Special bases for derivations of tensor algebras. I. Cases in a neighbourhood and at a point JINR Communication E5-92-507, Dubna
7. Iliev B Z 1996 Normal frames and the validity of the equivalence principle: I. Cases in a neighbourhood and at a point J. Phys. A: Math. Gen. 29 6895-901
8. Iliev B Z 1992 Special bases for derivations of tensor algebras. II. Case along paths JINR Communication E5-92-508, Dubna
9. Iliev B Z 1997 Normal frames and the validity of the equivalence principle: II. The case along paths. J. Phys. A: Math. Gen. 30 4327-36
10. O'Raifeartaigh L 1958 Fermi coordinates Proc. R. Irish Acad. 59 15-24
11. Iliev B Z 1992 Special bases for derivations of tensor algebras. III. Case along smooth maps with separable points of selfintersection JINR Communication E5-92-543, Dubna
12. Dubrovin B A, Fomenko A T and Novikov S P 1979 Modern Geometry: Methods and Applications (Graduate Text in Mathematics: The geometry and Topology of Manifolds 104) part 2 (New York: Springer) (translated from the original Russian 1979 (Moscow: Nauka))
13. Hartman Ph 1964 Ordinary Differential Equations (New York: Wiley)
14. Hartley D 1995 Normal frames for non-Riemanian connections Class. Quantum Grav. 12 L103-5
15. Gronwald F and Hehl F W 1996 On gauge aspects of gravity Quantum Cosmology, Proc. 14th Course of the School of Cosmology and Gravitation (Erice, May 1995) ed P G Bergmann, V de Sabbata and H-J Treder (Singapore: World Scientific) pp 148-198
16. Iliev B Z 1997 Is the principle of equivalence a principle? J. Geom. Phys. 24 209-22