Curvature homogeneity of affine connections on two-dimensional manifolds
Tom 81 / 1999
Colloquium Mathematicum 81 (1999), 123-139 DOI: 10.4064/cm-81-1-123-139
Curvature homogeneity of (torsion-free) affine connections on manifolds is an adaptation of a concept introduced by I. M. Singer. We analyze completely the relationship between curvature homogeneity of higher order and local homogeneity on two-dimensional manifolds.