Curvature homogeneity of affine connections on two-dimensional manifolds
Colloquium Mathematicum, Tome 81 (1999) no. 1, pp. 123-139
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
curvature homogeneous connections, two-dimensional manifolds with affine connection, locally homogeneous connections
Affiliations des auteurs :
Oldřich Kowalski 1 ; Barbara Opozda 1 ; Zdeněk Vlášek 1
@article{10_4064_cm_81_1_123_139,
author = {Old\v{r}ich Kowalski and Barbara Opozda and Zden\v{e}k Vl\'a\v{s}ek},
title = {Curvature homogeneity of affine connections on two-dimensional manifolds},
journal = {Colloquium Mathematicum},
pages = {123--139},
year = {1999},
volume = {81},
number = {1},
doi = {10.4064/cm-81-1-123-139},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-81-1-123-139/}
}
TY - JOUR AU - Oldřich Kowalski AU - Barbara Opozda AU - Zdeněk Vlášek TI - Curvature homogeneity of affine connections on two-dimensional manifolds JO - Colloquium Mathematicum PY - 1999 SP - 123 EP - 139 VL - 81 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/cm-81-1-123-139/ DO - 10.4064/cm-81-1-123-139 LA - en ID - 10_4064_cm_81_1_123_139 ER -
%0 Journal Article %A Oldřich Kowalski %A Barbara Opozda %A Zdeněk Vlášek %T Curvature homogeneity of affine connections on two-dimensional manifolds %J Colloquium Mathematicum %D 1999 %P 123-139 %V 81 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4064/cm-81-1-123-139/ %R 10.4064/cm-81-1-123-139 %G en %F 10_4064_cm_81_1_123_139
Oldřich Kowalski; Barbara Opozda; Zdeněk Vlášek. Curvature homogeneity of affine connections on two-dimensional manifolds. Colloquium Mathematicum, Tome 81 (1999) no. 1, pp. 123-139. doi: 10.4064/cm-81-1-123-139
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