|
|||||
|
|
|
|
|
|
|
|
|
A remark on Einstein
warped products
Michele Rimoldi |
|
Vol. 252 (2011), No. 1, 207–218
|
Abstract |
|
We prove triviality results for Einstein warped products with noncompact bases. These extend previous work by Kim and Kim. The proofs, from the viewpoint of quasi-Einstein manifolds introduced by Case, Shu and Wei, rely on maximum principles at infinity and Liouville-type theorems. |
Keywords
Einstein warped products, quasi-Einstein manifolds,
triviality, scalar curvature
|
Mathematical Subject Classification 2000
Primary: 53C21
|
Milestones
Received: 8 July 2010
Accepted: 13 August 2010
Published: 8 October 2011
|
Authors |
| Michele Rimoldi | |
| Dipartimento di Matematica F.
Enriques Università degli Studi di Milano I-20133 Milan Italy |
|
|
