We can obtain other spaces of constant curvature from the space M K . It is clear that if one of the spaces \(\bar \chi \,or\,\chi \) in a Riemannian covering \((\bar \chi ,\,\pi ,\,\chi )\) is a Riemannian space of constant curvature K, then the other space is also a space of constant curvature K. In particular, for any group Г of isometries of the space M K with a discrete action, the quotient space M K /Г is a space of constant curvature K.
KeywordsSymmetric Space Space Form Constant Curvature Isometry Group Riemannian Space
Unable to display preview. Download preview PDF.