Compact Gradient Shrinking Ricci Solitons with Positive Curvature Operator

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dc.creatorCao, Xiaodong
dc.date2006-01-25
dc.date.accessioned2026-07-07T06:59:16Z
dc.date.available2026-07-07T06:59:16Z
dc.descriptionIn this paper, we study the following conjecture of Hamilton: Any compact gradient shrinking Ricci soliton with positive curvature operator must be Einstein. We first derive several identities. Then we show that the conjecture is true under an additional condition. Furthermore, such a soliton must be of constant curvature.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0601599
dc.identifierhttp://arxiv.org/abs/math/0601599
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107685
dc.subjectDifferential Geometry
dc.subject53C44
dc.titleCompact Gradient Shrinking Ricci Solitons with Positive Curvature Operator
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