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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 146, Number 1, Pages 42–54
DOI: https://doi.org/10.4213/tmf2007 (Mi tmf2007) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Toward a Theory of Spaces of Constant Curvature

V. S. Dryuma

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova
Full-text PDF (156 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf2007
Abstract: We construct some examples of three-dimensional metrics of constant curvature defined by the solutions of nonlinear integrable differential equations and their generalizations and study the properties of Riemann extensions of the metrics of constant curvature. We discuss the connection with the theory of normal Riemannian spaces.
Keywords: Riemann extension, spaces of constant curvature, Korteveg-de Vries equation.
English version:
Theoretical and Mathematical Physics, 2006, Volume 146, Issue 1, Pages 34–44
DOI: https://doi.org/10.1007/s11232-006-0004-x
Bibliographic databases:
Language: Russian
Citation: V. S. Dryuma, “Toward a Theory of Spaces of Constant Curvature”, TMF, 146:1 (2006), 42–54; Theoret. and Math. Phys., 146:1 (2006), 34–44
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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