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arXiv · 1409.3359

On gradient Ricci solitons with constant scalar curvature

Manuel Fernandez-Lopez·Eduardo Garcia-Rio
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Abstract

We use the theory of isoparametric functions to investigate gradient Ricci solitons with constant scalar curvature. We show rigidity of gradient Ricci solitons with constant scalar curvature under some conditions on the Ricci tensor, which are all satisfied if the manifold is curvature homogeneous. This leads to a complete description of four- and six-dimensional Kaehler gradient Ricci solitons with constant scalar curvature.

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Manuel Fernandez-Lopez, Eduardo Garcia-Rio. 2014-09-11. On gradient Ricci solitons with constant scalar curvature. https://arxiv.org/abs/1409.3359

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