Ricci Flow of Biaxial Bianchi IX Metrics

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dc.creatorHolzegel, G.
dc.creatorSchmelzer, T.
dc.creatorWarnick, C.
dc.date2007-06-12
dc.date.accessioned2026-07-07T08:05:17Z
dc.date.available2026-07-07T08:05:17Z
dc.descriptionWe use the Ricci flow with surgery to study four-dimensional SU(2) x U(1)-symmetric metrics on a manifold with fixed boundary given by a squashed 3-sphere. Depending on the initial metric we show that the flow converges to either the Taub-Bolt or the Taub-NUT metric, the latter case potentially requiring surgery at some point in the evolution. The Ricci flow allows us to explore the Euclidean action landscape within this symmetry class. This work extends the recent work of Headrick and Wiseman to more interesting topologies.
dc.description19 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0706.1694
dc.identifierhttp://arxiv.org/abs/0706.1694
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130232
dc.subjectHigh Energy Physics - Theory
dc.titleRicci Flow of Biaxial Bianchi IX Metrics
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