A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold (Q2717695)
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: A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold |
scientific article; zbMATH DE number 1605286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold |
scientific article; zbMATH DE number 1605286 |
Statements
A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold (English)
0 references
17 June 2001
0 references
pseudo-Riemannian manifold
0 references
tangent bundle
0 references
prolongation of metrics
0 references
Ricci flat metric
0 references
0.9527273
0 references
0.91677296
0 references
0.9077347
0 references
0.9011163
0 references
0 references
The paper deals with a distinguished pseudo-Riemannian metric \(G\) on the tangent bundle \(TM\) of a Riemannian manifold \((M, g)\) induced by a prolongation of the Riemannian metric \(g\). The author proves necessary and sufficient conditions for the pseudo-Riemannian manifold \((TM,G)\) to be Ricci flat.
0 references
