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.
@article{bwmeta1.element.bwnjournal-article-cmv81i1p123bwm,
author = {Old\v rich Kowalski and Barbara Opozda and Zden\v ek Vl\'a\v sek},
title = {Curvature homogeneity of affine connections on two-dimensional manifolds},
journal = {Colloquium Mathematicae},
volume = {79},
year = {1999},
pages = {123-139},
zbl = {0942.53019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv81i1p123bwm}
}
Kowalski, Oldřich; Opozda, Barbara; Vlášek, Zdeněk. Curvature homogeneity of affine connections on two-dimensional manifolds. Colloquium Mathematicae, Tome 79 (1999) pp. 123-139. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv81i1p123bwm/
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