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arXiv 2005-05-18 DOI 10.1007/s11232-006-0004-x 0 views

On the theory of spaces of constant curvature

Dryuma, V.

Original · EN

Some examples of three-dimensional metrics of constant curvature defined by solutions of nonlinear integrable differential equations and their generalizations are constructed. The properties of Riemann extensions of the metrics of constant curvature are studied. The connection with the theory of normal Riemann spaces are discussed.

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