Ricci flow on locally homogeneous closed 4-manifolds

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dc.creatorIsenberg, James
dc.creatorJackson, Martin
dc.creatorLu, Peng
dc.date2005-02-08
dc.date.accessioned2026-07-07T05:16:49Z
dc.date.available2026-07-07T05:16:49Z
dc.descriptionWe discuss the Ricci flow on homogeneous 4-manifolds. After classifying these manifolds, we note that there are families of initial metrics such that we can diagonalize them and the Ricci flow preserves the diagonalization. We analyze the long time behavior of these families. We find that if a solution exists for all time, then the flow exhibits a type III singularity in the sense of Hamilton.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0502170
dc.identifierhttp://arxiv.org/abs/math/0502170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74127
dc.subjectDifferential Geometry
dc.subject53C44
dc.titleRicci flow on locally homogeneous closed 4-manifolds
dc.typetext

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