Abstract
We study the six-dimensional pseudo-Riemannian spaces with two time-like coordinates that admit non-homothetic infinitesimal projective transformations. The metrics are manifestly obtained and the projective group properties are determined. We also find a generic definition of projective motion in the 6-dimensional rigid h-space.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M.G. Konigs: Appl. II to G. Darboux. Lecons sur la theorie generalle des surfaces, IV. 1896, p. 368.
A.Z. Petrov: Uch. Zap. Kazan. Univ. 109 (1949) 7 (in Russian).
A.V. Aminova: Izv. VUZ 30 (1990) 1 (in Russian).
G. Fubini: Mem. Acc. Torino. Cl. Fil. Mat. Nat. 53 (1903) 261.
A. S. Solodovnikov: Uspekhi Mat. Nauk (1956) 45 (in Russian).
A.V. Aminova: Uspekhi Mat. Nauk 50 (1995) 69 (in Russian).
L.P. Eisenhart: Riemannian geometry. Inostr. Lit., Moscow, 1948 (in Russian).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zakirova, Z. On projective group properties of the 6D pseudo-Riemannian space. Czech J Phys 55, 1541–1544 (2005). https://doi.org/10.1007/s10582-006-0038-1
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10582-006-0038-1