On projective group properties of the 6D pseudo-Riemannian space |
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| Authors: | Zolfira Zakirova |
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| Institution: | (1) Kazan State Energy University, 18 Kremlyovskaya st., Kazan, 420008, Republic of Tatarstan, Russian Federation;(2) Institute of Theoretical and Experimental Physics, Russian Acad. Sci., Moscow, Russia |
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| 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.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005. |
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| Keywords: | mathematical methods in physics classical differential geometry |
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