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arXiv · 1805.03978

Reduction of gradient Ricci soliton equations

Benedito Leandro·João Paulo dos Santos
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Abstract

We consider gradient Ricci solitons conformal to a $n$-dimensional pseudo-Euclidean space and we completely describe the most general ansatz that reduces the resulting system of partial differential equations to a system of ordinary differential equations. As a consequence, the gradient Ricci solitons that arise from the reduced system are invariant under the action of either an $(n-1)$-dimensional translation group or the pseudo-orthogonal group acting on the corresponding $n$-dimensional pseudo-Euclidean space.

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Benedito Leandro, João Paulo dos Santos. 2018-05-10. Reduction of gradient Ricci soliton equations. https://doi.org/10.5186/aasfm.2020.4554

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