Year: 2025
Type: article
Abstract: Simply-connected four-dimensional gradient Ricci solitons that are invariant under a compact cohomogeneity one group action have been studied extensively. However, the special case where the group is $$\textrm{SU}(2)$$ SU ( 2 ) (the smallest possible example) has received comparatively little attention. The purpose of this article is to give a comprehensive study of simply-connected $$\textrm{SU}(2)$$ SU ( 2 ) -invariant expanding cohomogeneity one gradient Ricci solitons. The main result is the construction of new 3-parameter families of complete $$\textrm{SU}(2)$$ SU ( 2 ) -invariant asymptotically conical expanding gradient Ricci solitons and new 2-parameter families of complete $$\textrm{SU}(2)$$ SU ( 2 ) -invariant Einstein metrics.
Source: Journal of Geometric Analysis
Author: Patrick Donovan
Institution: UNSW Sydney
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Award: G4840429830
OpenAlex ID: W4415443429