Projectively flat connections and flat connections on homogeneous spaces (Q985045)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projectively flat connections and flat connections on homogeneous spaces |
scientific article |
Statements
Projectively flat connections and flat connections on homogeneous spaces (English)
0 references
20 July 2010
0 references
The author describes a correspondence between the set of all \(G\)-invariant projectively flat connections on homogeneous spaces \(M=G/K\) and the set of all \(\tilde G\)-invariant flat connections on homogeneous spaces \(\tilde M = \tilde G/K\), where \(\tilde G\) is a central extension of the Lie group \(G\).
0 references
projectively flat connection
0 references
flat connection
0 references
reductive homogeneous space
0 references
symmetric space
0 references
simple Lie group
0 references
