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The mixed scalar curvature is one of the simplest curvature invariants of afoliated Riemannian manifold. We explore the problem of prescribing the mixedscalar curvature of a foliated Riemann-Cartan manifold by conformal change ofthe structure in tangent and normal to the leaves directions. Under certaingeometrical assumptions and in two special cases: along a compact leaf and fora closed fibred manifold, we reduce the problem to solution of a leafwiseelliptic equation, which has three stable solutions -- only one of themcorresponds to the case of a foliated Riemannian manifold.

Prescribing the mixed scalar curvature of a foliated Riemann-Cartan manifold