On the geometry of the base space of a metric fibration. (Q1608966)
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: On the geometry of the base space of a metric fibration. |
scientific article; zbMATH DE number 1780866
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the geometry of the base space of a metric fibration. |
scientific article; zbMATH DE number 1780866 |
Statements
On the geometry of the base space of a metric fibration. (English)
0 references
14 August 2002
0 references
The author studies the geometry of the base space \(B\) of a Riemannian submersion \(M\to B\) with totally geodesic fibers. For example it is shown that for a locally symmetric space \(M\), the Ricci curvature of \(B\) is parallel along geodesics in \(B\).
0 references
metric fibrations
0 references
locally symmetry spaces
0 references
homogeneous spaces
0 references
0.8871243
0 references
0.8858812
0 references
0 references
0 references
