Complete Ricci solitons via estimates on the soliton potential
Abstract
In this paper a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the set-ups of L\"u-Page-Pope and Dancer-Wang. It also provides a different approach to the two summands system which applies to all known geometric examples.
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