On gradient Ricci solitons with Symmetry

Simple item page
dc.creatorPetersen, Peter
dc.creatorWylie, William
dc.date2007-10-18
dc.date2008-09-24
dc.date.accessioned2026-07-07T10:04:29Z
dc.date.available2026-07-07T10:04:29Z
dc.descriptionWe study gradient Ricci solitons with maximal symmetry. First we show that there are no non-trivial homogeneous gradient Ricci solitons. Thus the most symmetry one can expect is an isometric cohomogeneity one group action. Many examples of cohomogeneity one gradient solitons have been constructed. However, we apply the main result in our paper "Rigidity of gradient Ricci solitons" to show that there are no noncompact cohomogeneity one shrinking gradient solitons with nonnegative curvature.
dc.description7 pages, final version, to appear in Proc. of AMS
dc.identifierhttps://arxiv.org/abs/0710.3595
dc.identifierhttp://arxiv.org/abs/0710.3595
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169695
dc.subjectDifferential Geometry
dc.titleOn gradient Ricci solitons with Symmetry
dc.typetext

Files

Collections

arXiv