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Trudy Geometricheskogo Seminara, 1997, Volume 23, Pages 187–198
(Mi kutgs17)
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This article is cited in 1 scientific paper (total in 1 paper)
The space $H_4$ and quaternion algebra
A. P. Shirokov Kazan State University
Abstract:
We obtain a conformal model of the four-dimensional Lobachevskii space $H_4$ by an autopolar framing of a quadric in the projective space $P_5$. We use quaternions to describe points and vectors, this allows us to write the parallel translation law in terms of quaternions. In these terms we also represent infinitesimal motions and infinitesimal conformal transformations, and some finite transformations of $H_4$ as well.
Citation:
A. P. Shirokov, “The space $H_4$ and quaternion algebra”, Tr. Geom. Semin., 23, Kazan Mathematical Society, Kazan, 1997, 187–198
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https://www.mathnet.ru/eng/kutgs17 https://www.mathnet.ru/eng/kutgs/v23/p187
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Abstract page: | 233 | Full-text PDF : | 119 |
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