One-dimensional metric foliations on compact Lie groups (Q874368)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: One-dimensional metric foliations on compact Lie groups |
scientific article; zbMATH DE number 5140509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One-dimensional metric foliations on compact Lie groups |
scientific article; zbMATH DE number 5140509 |
Statements
One-dimensional metric foliations on compact Lie groups (English)
0 references
5 April 2007
0 references
The main results of the paper are the following: Theorem 1. One-dimensional metric foliations on compact Lie groups endowed with a bi-invariant metric are homogeneous, and: Let \(\Gamma\) be a finite group acting freely and isometrically on a compact Lie group \(G\). Theorem 2. One-dimensional metric foliations on \(G/\Gamma\) are homogeneous.
0 references
compact Lie groups
0 references
bi-invariant metric
0 references
one-dimensional metric foliations
0 references
Jacobi vector fields
0 references
0 references
0.9057492
0 references
0.89395523
0 references
0 references
0 references
0.89356303
0 references
0 references
