Rigidity of gradient Ricci Solitons

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dc.creatorPetersen, Peter
dc.creatorWylie, William
dc.date2007-10-16
dc.date.accessioned2026-07-07T08:36:47Z
dc.date.available2026-07-07T08:36:47Z
dc.descriptionWe define a gradient Ricci soliton to be rigid if it is a flat bundle $% N\times_Γ\mathbb{R}^{k}$ where $N$ is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons. Other related results on rigidity of Ricci solitons are also explained in the last section.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0710.3174
dc.identifierhttp://arxiv.org/abs/0710.3174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140183
dc.subjectDifferential Geometry
dc.titleRigidity of gradient Ricci Solitons
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