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arXiv · 2004.05053

On the construction of complete expanding gradient Rici solitons

Marcio de Sousa·Paula Bonfim·Romildo Pina·Tiberio Martins
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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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Marcio de Sousa, Paula Bonfim, Romildo Pina, Tiberio Martins. 2020-04-10. On the construction of complete expanding gradient Rici solitons. https://arxiv.org/abs/2004.05053

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