caa a22 4500 467910405 CHVBK 20180406152847.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s11232-006-0004-x doi (NATIONALLICENCE)springer-10.1007/s11232-006-0004-x Dryuma V. Institute of Mathematics and Informatics, Academy of Sciences of Moldova, Kishinev, Moldova aut Toward a Theory of Spaces of Constant Curvature [Elektronische Daten] [V. Dryuma] 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. Springer Science+Business Media, Inc., 2006 Riemann extension nationallicence spaces of constant curvature nationallicence Korteveg-de Vries equation nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/1(2006-01-01), 34-44 0040-5779 146:1<34 2006 146 11232 https://doi.org/10.1007/s11232-006-0004-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0004-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Dryuma V. Institute of Mathematics and Informatics, Academy of Sciences of Moldova, Kishinev, Moldova aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/1(2006-01-01), 34-44 0040-5779 146:1<34 2006 146 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer