Vv. Zhytnikov, CONFORMALLY INVARIANT LAGRANGIANS IN METRIC-AFFINE AND RIEMANN-CARTANSPACES, International journal of modern physics A, 8(29), 1993, pp. 5141-5152
Various types of generalized conformal transformations in non-Riemanni
an manifolds and corresponding transformation properties of the geomet
rical objects are reviewed. Possible structures of conformally invaria
nt gravity and matter Lagrangians in arbitrary space dimensions are di
scussed. New electrovac exact solutions of R + R2 + Q2 gravity with co
nformally flat Bertotti-Robinson metric and nonzero torsion have been
found.