On curvature homogeneous and locally homogeneous affine connections. (English) Zbl 0864.53013

In this paper the author considers curvature homogeneous affine connections on 2-dimensional manifolds. She gives a sufficient condition for a projectively flat curvature homogeneous connection to be locally homogeneous and shows how to construct curvature homogeneous connections that are not locally homogeneous.
Reviewer: H.Özekes (Muǧla)


53B05 Linear and affine connections
53C30 Differential geometry of homogeneous manifolds
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