On curvature homogeneous and locally homogeneous affine connections

被引：13
|
作者：
Opozda, B
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 06期
关键词：
affine connections; locally homogenous; curvature homogeneous; projectively flat; locally symmetric;
D O I：
10.1090/S0002-9939-96-03455-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with curvature homogeneous affine connections on 2-dimensional manifolds. We give a sufficient condition for a projectively flat curvature homogeneous connection to be locally homogeneous and show how to construct curvature homogeneous connections that are not locally homogeneous.
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页码：1889 / 1893
页数：5
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