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On the construction of complete expanding gradient Rici solitons (2004.05053v1)
Published 10 Apr 2020 in math.DG
Abstract: We study gradient Ricci solitons warped products whose base is the Euclidean space. We show that the warping functions of these manifolds are invariant under the (n-1)-dimensional translation group. We characterize the potential function when the torsion function depends only on one variable, which is a particular case of invariance by translation. From this study, we derive complete examples of expanding gradient Ricci solitons.
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