Perelman's Invariant, Ricci Flow, and the Yamabe Invariants of Smooth Manifolds

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dc.creatorAkutagawa, Kazuo
dc.creatorIshida, Masashi
dc.creatorLeBrun, Claude
dc.date2006-10-04
dc.date2006-10-17
dc.date.accessioned2026-07-07T07:28:40Z
dc.date.available2026-07-07T07:28:40Z
dc.descriptionIn his study of Ricci flow, Perelman introduced a smooth-manifold invariant called lambda-bar. We show here that, for completely elementary reasons, this invariant simply equals the Yamabe invariant, alias the sigma constant, whenever the latter is non-positive. On the other hand, the Perelman invariant just equals + infinity whenever the Yamabe invariant is positive.
dc.descriptionLaTeX2e, 7 pages. To appear in Arch. Math. Revised version improves result to also cover positive case
dc.identifierhttps://arxiv.org/abs/math/0610130
dc.identifierhttp://arxiv.org/abs/math/0610130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117818
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.subject53C21, 58J50
dc.titlePerelman's Invariant, Ricci Flow, and the Yamabe Invariants of Smooth Manifolds
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