On a classification of the gradient shrinking solitons

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dc.creatorNi, Lei
dc.creatorWallach, Nolan
dc.date2007-10-16
dc.date.accessioned2026-07-07T08:36:48Z
dc.date.available2026-07-07T08:36:48Z
dc.descriptionThe main purpose of this article is to provide an alternate proof to a result of Perelman on gradient shrinking solitons. In dimension three we also generalize the result by removing the $κ$-non-collapsing assumption. In high dimension this new method allows us to prove a classification result on gradient shrinking solitons with vanishing Weyl curvature tensor, which includes the rotationally symmetric ones.
dc.identifierhttps://arxiv.org/abs/0710.3194
dc.identifierhttp://arxiv.org/abs/0710.3194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140190
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleOn a classification of the gradient shrinking solitons
dc.typetext

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