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arXiv · 1710.11108

Complete Ricci solitons via estimates on the soliton potential

Matthias Wink
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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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Matthias Wink. 2017-10-30. Complete Ricci solitons via estimates on the soliton potential. https://doi.org/10.1093/imrn%2Frnaa147

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