Convergence of the Ricci flow toward a unique soliton

dc.creatorSesum, Natasa
dc.date2004-05-20
dc.date.accessioned2026-07-07T05:08:26Z
dc.date.available2026-07-07T05:08:26Z
dc.descriptionWe will consider a {\it $τ$-flow}, given by the equation $\frac{d}{dt}g_{ij} = -2R_{ij} + \frac{1}τg_{ij}$ on a closed manifold $M$, for all times $t\in [0,\infty)$. We will prove that if the curvature operator and the diameter of $(M,g(t))$ are uniformly bounded along the flow and if one of the limit solitons is integrable, then we have a convergence of the flow toward a unique soliton, up to a diffeomorphism.
dc.identifierhttps://arxiv.org/abs/math/0405398
dc.identifierhttp://arxiv.org/abs/math/0405398
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71260
dc.subjectDifferential Geometry
dc.subject53C44
dc.titleConvergence of the Ricci flow toward a unique soliton
dc.typetext

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