Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
analysis of fundamental groups
study of universal covers of Riemannian manifolds |
| gptkbp:defines |
A covering space of a Riemannian manifold equipped with a Riemannian metric such that the covering map is a local isometry.
|
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riemannian covering spaces
|
| gptkbp:property |
The covering map preserves the Riemannian metric locally.
The universal cover of a Riemannian manifold is a Riemannian covering space. Deck transformations act as isometries on the covering space. |
| gptkbp:relatedTo |
gptkb:Riemannian_manifold
covering space |
| gptkbp:bfsParent |
gptkb:Riemannian_Geometry
|
| gptkbp:bfsLayer |
8
|