A Remark on the Geometry of Two-Dimensional Anisotropic Non-Linear   Sigma-Models
  One discusses here the connection between \sigma-model gauge anomalies and the existence of a connection with torsion that does not flatten the Ricci tensor of the target manifold, by considering a number of non-symmetric coset spaces. The influence of an eventual anisotropy on a certain direction of the target manifold is also contemplated. 
D. H. T. Franco, M. S. Goes-Negrao, J. A. Helayel-Neto and A. R.   Pereira