Geometries of orthogonal groups and their contractions: A unified classical deformation viewpoint

International Journal of Modern Physics A

Volumn 12, Issue 1, 1997, Pages 99-107

  Santander, M ^a   Herranz, F J ^b  

^a UNIVERSITY OF VALLADOLID   (Spain)

^b UNIVERSITY OF BURGOS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039538534     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X97000128     Document Type: Review

References (12)

1. D. M. Y. Sommerville, Classification of geometries with protective metrics, Proc. Edinburgh. Math. Soc., 28, (1910-11) 25;
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3. B. A. Rozenfel'd, A history of non-euclidean geometry (Springer, New York, 1988).
4. L. M. Nieto, J. Negro and M. Santander, Two Dimensional Cayley-Klein algebras generated by Expansions, this volume.
5. F. J. Herranz, M. de Montigny, M. A. del Olmo and M. Santander, J. Phys. A: Math. Gen., 27, (1994) 2515;
6. ⊗N graded contractions of so(N + 1), J. Phys. A: Math. Gen., 29, (1996) 6643.
7. J. A de Azcárraga, F. J. Herranz, J. C. Pérez Bueno and M. Santander, A general analysis of the cohomology of so(N + 1) contractions, forthcoming.
8. F. J. Herranz and M. Santander, The Casimirs invariants for quasi-orthogonal algebras and their application to expansions, forthcoming.
9. G. S. Birman and K. Nomizu, Amer. Math. Month., 91, (1984) 543.
10. I. M. Yaglom, A simple non-euclidean geometry and its physical basis, (Springer, New York, 1979).
11. A. Ballesteros, F. J. Herranz, M. A. del Olmo and M. Santander, J. Phys. A: Math. Gen., 26, (1993) 5801.
12. F. J. Herranz, PhD Thesis, Universidad de Valladolid, 1995.