Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024517 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 14 Pages |
Abstract
In this paper we show that an expanding or steady gradient Ricci soliton warped product BnÃfFm, m>1, whose warping function f reaches both maximum and minimum must be a Riemannian product. Moreover, we present a necessary and sufficient condition for constructing a gradient Ricci soliton warped product. As an application, we present a class of expanding Ricci soliton warped product having as a fiber an Einstein manifold with non-positive scalar curvature. We also discuss some obstructions to this construction, especially in the case when the base of the warped product is compact.
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Authors
F.E.S. Feitosa, A.A. Freitas Filho, J.N.V. Gomes,