Stability of the Ricci Yang-Mills flow at Einstein Yang-Mills metrics

Simple item page
dc.creatorYoung, Andrea
dc.date2008-12-10
dc.date.accessioned2026-07-07T12:11:35Z
dc.date.available2026-07-07T12:11:35Z
dc.descriptionLet $P$ be a principal U(1)-bundle over a closed manifold $M$. On $P$, one can define a modified version of the Ricci flow called the Ricci Yang-Mills flow, due to these equations being a coupling of Ricci flow and the Yang-Mills heat flow. We use maximal regularity theory and ideas of Simonett concerning the asymptotic behavior of abstract quasilinear parabolic partial differential equations to study the stability of the volume-normalized Ricci Yang-Mills flow at Einstein Yang-Mills metrics in dimension two. In certain cases, we show the presence of a center manifold of fixed points, while in others, we show the existence of an asymptotically stable fixed point.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0812.1823
dc.identifierhttp://arxiv.org/abs/0812.1823
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210266
dc.subjectDifferential Geometry
dc.subject53C44 (Primary), 53C21, 53C07, 58J35 (Secondary)
dc.titleStability of the Ricci Yang-Mills flow at Einstein Yang-Mills metrics
dc.typetext

Files

Collections

arXiv