New examples of Ricci solitons with non-compact symmetry

Abstract: There are many examples of Ricci solitons that are constructed using the following ansatz: the soliton admits a cohomogeneity one group action by a compact Lie group. On the other hand, there are very few examples of cohomogeneity one Ricci solitons where the group acting is non-compact. In fact, all known examples of inhomogeneous Ricci solitons with non-compact symmetry have either abelian symmetry or special holonomy. We will discuss our construction of new examples of complete cohomogeneity one gradient Ricci solitons where the group action is by a non-compact solvable Lie group, many of which do not have special holonomy.

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

( paper | video )

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Differential geometry.

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