Complete Ricci solitons via estimates on the soliton potential
Matthias Wink

TL;DR
This paper develops growth estimates for the soliton potential on cohomogeneity one manifolds, enabling the construction of new complete Ricci solitons and offering a novel approach to existing systems.
Contribution
It introduces a new growth estimate for the soliton potential, facilitating the construction of continuous families of Ricci solitons and providing a unified approach to known examples.
Findings
Constructed new families of steady and expanding Ricci solitons
Provided growth estimates applicable to a broad class of manifolds
Presented a different method for analyzing the two summands system
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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