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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 246, Pages 141–151
(Mi znsl553)
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This article is cited in 2 scientific papers (total in 2 papers)
The topology and the Lorentz-invariant pseudo-Riemannian metric of the manifold of directions in the
physical space
S. E. Kozlov Saint-Petersburg State University
Abstract:
In the mathematical model of the special theory of relativity the two-dimensional Minkowski subspace is interpreted as a one-dimensional direction of the physical space. The manifold of such planes is naturally provided with the structure of a pseudoriemann manifold, the group of isochronous Lorentz transformations on which acts by isometries transitively. The present paper is dedicated to the study of the topology and
metric geometry of this manifold.
Received: 11.12.1996
Citation:
S. E. Kozlov, “The topology and the Lorentz-invariant pseudo-Riemannian metric of the manifold of directions in the
physical space”, Geometry and topology. Part 2, Zap. Nauchn. Sem. POMI, 246, POMI, St. Petersburg, 1997, 141–151; J. Math. Sci. (New York), 100:3 (2000), 2277–2283
Linking options:
https://www.mathnet.ru/eng/znsl553 https://www.mathnet.ru/eng/znsl/v246/p141
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Abstract page: | 271 | Full-text PDF : | 102 |
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