Extended absolute parallelism geometry

International Journal of Geometric Methods in Modern Physics

Volumn 5, Issue 7, 2008, Pages 1109-1135

  Youssef, Nabil L ^a   Sid Ahmed, A M ^a  

^a CAIRO UNIVERSITY   (Egypt)

Author keywords

Absolute parallelism; Berwald type; Canonical d connection; Cartan type; Extended absolute parallelism; Field equations; Metric d connection; Parallelizable manifold; W tensor

Indexed keywords

EID: 57349083079     PISSN: 02198878     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219887808003235     Document Type: Article

References (17)

1. A. Einstein, The Meaning of Relativity, 5th edn. (Princeton University Press, 1955).
2. K. Hayashi and T. Shirafuji, New general relativity, Phys. Rev. D 19 (1979) 3524-3554.
3. F. Brickell and R. S. Clark, Differentiable Manifolds (Van Nostrand Reinhold Co., 1970).
4. F. I. Mikhail, Tetrad vector fields and generalizing the theory of relativity, Ain Shams Sc. Bull. 6 (1962) 87-111.
5. F. I. Mikhail and M. I. Wanas, A generalized field theory. I. Field equations, Proc. R. Soc. London A 356 (1977) 471-481.
6. R. Miron, A Lagrangian theory of relativity, An. St. Univ. "Al. I. Cuza" Iasi, Mat. 32 (1986) 37-62.
7. R. Miron, The geometry of Cartan spaces, Progress of Math. 22 (1988) 1-38.
8. R. Miron and M. Anastasiei, The Geometry of Lagrange Spaces: Theory and Applications, Vol. 59 (Kluwer Acedamic Publishers, 1994).
9. R. Miron and M. Anastasiei, Vector Bundles and Lagrange Spaces with Applications to Relativity, Vol. 1 (Geometry Balkan Press, Bucurest, Romania, 1997).
10. R. Miron, Compenduim on the geometry of Lagrange spaces, Handbook of Differential Geometry, Vol. II (2006) 437-512.
11. H. P. Robertson, Groups of motion in spaces admitting absolute parallelism, Ann. Math, Princeton (2) 33 (1932) 496-520.
12. M. I. Wanas, A generalized field theory and its applications in cosmology, Ph. D. Thesis, Cairo University (1975).
13. M. I. Wanas, A generalized field theory: Charged spherical symmetric solutions, Int. J. Theor. Phys. 24 (1985) 639-651.
14. M. I. Wanas, Absolute parallelism geometry: Developments, applications and problems, Stud. Cercet. Stiin. Ser. Mat. Univ. Bacau. 10 (2001) 297-309.
15. M. I. Wanas, On the relation betweem mass and charge: A pure geometric approach, Int. J. Geom. Meth. Mod. Phys. 4 (2007) 373-388.
16. M. I. Wanas, Nabil L. Youssef and A. M. Sid-Ahmed, Geometry of parallelizable manifolds in the context of generalized Lagrange spaces, Balkan J. Geom. Appl. 13 (2008) 120-139.
17. Nabil L. Youssef and A. M. Sid-Ahmed, Linear connections and curvature tensors in the geometry of parallelizabl manifolds, Rep. Math. Phys. 60 (2007) 39-52.