Estimating the trace-free Ricci tensor in Ricci flow

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dc.creatorKnopf, Dan
dc.date2007-11-07
dc.date.accessioned2026-07-07T08:41:24Z
dc.date.available2026-07-07T08:41:24Z
dc.descriptionAn important and natural question in the analysis of Ricci flow singularity formation in dimensions four and above is as follows: What are the weakest conditions that provide control of the norm of the Riemann curvature tensor? In this short note, we show that on a compact manifold, the trace-free Ricci tensor is controlled in a precise fashion by the other components of the irreducible decomposition of the curvature tensor, without any hypotheses on the initial data.
dc.identifierhttps://arxiv.org/abs/0711.1153
dc.identifierhttp://arxiv.org/abs/0711.1153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141665
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C44 (Primary), 53C21 (Secondary)
dc.titleEstimating the trace-free Ricci tensor in Ricci flow
dc.typetext

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