Manifolds of constant negative curvature as vacuum solutions in Kaluza- Klein and superstring theories (Q1081862)

Certain difficulties arising in Kaluza-Klein theories with additional dimensions belonging to a compact space of positive curvature, are not present if this space is of negative curvature (hyperbolic), its compactness being e.g. that of the dodecahedron space. Such manifolds are now considered and a number of simple new solutions of the Kaluza-Klein and superstring equations are found which correspond to spontaneous compactification or dimensional reduction, in particular a vacuum solution in a 10-dimensional superstring theory with no anomalies is found. Some misprints are to be mentioned, especially in the references.