On rotationally invariant shrinking gradient Ricci solitons

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dc.creatorKotschwar, Brett
dc.date2007-02-20
dc.date.accessioned2026-07-07T07:48:01Z
dc.date.available2026-07-07T07:48:01Z
dc.descriptionIn this paper we study the gradient Ricci shrinking soliton equation on rotationally symmetric manifolds of dimension three and higher and prove that the only complete examples of such metrics on $S^n$, $\R{n}$ and $\R{}\times S^{n-1}$ are, respectively, the round, flat, and standard cylindrical metrics.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0702597
dc.identifierhttp://arxiv.org/abs/math/0702597
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124356
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject58J35; 35K05
dc.titleOn rotationally invariant shrinking gradient Ricci solitons
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