On the theory of spaces of constant curvature
Differential Geometry
2009-11-11 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0505376,
title = {On the theory of spaces of constant curvature},
author = {V. Dryuma},
journal= {arXiv preprint arXiv:math/0505376},
year = {2009}
}
Comments
12 pages, LaTex