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On the theory of spaces of constant curvature

Research paper by V. Dryuma

Indexed on: 18 May '05Published on: 18 May '05Published in: Mathematics - Differential Geometry



Abstract

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.