Classification of G-invariant configurations of Einstein-Cartan theory on a multidimensional universe (Q1096909)

G-invariant configurations (\(\tau\),\(\gamma)\) of Einstein-Cartan theory on a multidimensional universe M are shown to be in 1-1-correspondence with a quintuplet (\({\tilde \tau}\),\(\xi\),\({\hat \alpha}\),\(\phi\),\(\psi)\) of geometrical objects living on bundles over physical spacetime \(M=M/G\). Moreover, explicit formulae for \(\tau\) are given in terms of classifying objects.