Convergence of compact Ricci solitons

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dc.creatorWeber, Brian
dc.date2008-04-07
dc.date.accessioned2026-07-07T09:30:59Z
dc.date.available2026-07-07T09:30:59Z
dc.descriptionWe show that sequences of compact gradient Ricci solitons converge to complete orbifold gradient solitons, assuming constraints on volume, the $L^{n/2}$-norm of curvature, and the auxiliary constant $C_1$. The strongest results are in dimension 4, where $L^2$ curvature bounds are equivalent to upper bounds on the Euler number. We obtain necessary and sufficient conditions for limits to be compact.
dc.identifierhttps://arxiv.org/abs/0804.1158
dc.identifierhttp://arxiv.org/abs/0804.1158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158303
dc.subjectDifferential Geometry
dc.titleConvergence of compact Ricci solitons
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