Complete Ricci Solitons via Estimates on the Soliton Potential
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Complete Ricci Solitons via Estimates on the Soliton Potential

Published Web Location

https://arxiv.org/abs/1710.11108
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Abstract

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 setups of Lü–Page–Pope [24] and Dancer–Wang [17]. It also provides a different approach to the two summands system [30] that applies to all known geometric examples.

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