Nonassociative geometry of special relativity

International Journal of Theoretical Physics

Volumn 40, Issue 1, 2001, Pages 359-362

  Sbitneva, Larissa ^a  

^a UNIVERSIDAD DE QUINTANA ROO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044527469     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Fok, Vladimir A. (1955). The Theory of Space, Time and Gravitation, (in Russian) GITTL, Moscow. English translation, Pergamon Press (1959) MR21 #7042.
2. Nesterov, Alexander I. (1989). The methods of nonassociative algebra in physics, Doctor of Sciences Dissertation, Institute of Physics of Estonian Academy of Sciences, Tartu.
3. Sabinin, Lev V. (1981). Methods of nonassociative algebra in differential geometry, in: Shoshichi Kobayashi and Katsumi Nomizy, Foundations of Differential Geometry, [in Russian], Nauka, Moscow, Vol. 1, Supplement, pp. 293-339; MR 84b:53002.
4. Sabinin, Lev V. (1991). Analytic Quasigroups and Geometry, Friendship of Nations University, Moscow.
5. Sabinin, Lev V. (1995). On gyrogroups of Ungar, Advances in Mathematical Sciences, 50(5), 251-252 [in Russian];
6. English translation: Russian Mathematical Survey, 50(5).
7. Sabinin, Lev V. (1999). Smooth Quasigroups and Loops, Kluwer, Dordrecht.
8. Sabinin, Lev V., and P. O. Miheev (1993). On the law of addition of velocities in special relativity, Advances in Mathematical Sciences, 48(5), 183-184 [in Russian].
9. English translation: Russian Mathematical Survey, 48(5).
10. Sabinin, Lev V., and Alexander I. Nesterov (1997). Smooth loops and Thomas precession, Hadronic Journal, 20, 219-237.
11. Sabinin, Lev V., Ludmila L. Sabinina, and Larissa V. Sbitneva (1998). On the notion of gyrogroup, Aequationes Mathematicae, 56(1), 11-17.
12. Sabinin, Lev V., and Larissa V. Sbitneva (1994). Half Bol loops, in: Webs and Quasigroups, Tver University Press, pp. 50-54.
13. Ungar, Abraham A. (1990). Weakly associative groups, Results in Mathematics, 17, 149-168.
14. Ungar, Abraham A. (1994). The holomorphic automorphism group of the complex disk, Aequationes Mathematicae, 17(2), 240-254.
15. Ungar, Abraham A. (1997). Thomas precession: Its underlying gyrogroup axioms and their use in hyperbolic geometry and relativistic physics, Foundations of Physics, 27, 881-951.