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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 11, Pages 48–59
(Mi ivm1776)
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This article is cited in 5 scientific papers (total in 5 papers)
Projective geometry and the theory of physical structures
V. A. Kyrov Gorno-Altaisk State University, Gorno-Altaisk, Russia
Abstract:
In this paper we establish connection between $s$-metric physical structures of rank $(s+3,2)$ and projective geometry. In particular, we find explicit functional relations determining phenomenological symmetry. For $s=1$, this relation is expressed in terms of the anharmonic ratio of four points. We prove that these functional relations lead to the group of projective transformations.
Keywords:
physical structure, projective geometry.
Received: 04.07.2005 Revised: 05.04.2007
Citation:
V. A. Kyrov, “Projective geometry and the theory of physical structures”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 11, 48–59; Russian Math. (Iz. VUZ), 52:11 (2008), 42–52
Linking options:
https://www.mathnet.ru/eng/ivm1776 https://www.mathnet.ru/eng/ivm/y2008/i11/p48
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Abstract page: | 324 | Full-text PDF : | 103 | References: | 48 | First page: | 4 |
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