On the Completeness of Gradient Ricci Solitons

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dc.creatorZhang, Zhu-Hong
dc.date2008-07-10
dc.date2008-10-22
dc.date.accessioned2026-07-07T10:11:56Z
dc.date.available2026-07-07T10:11:56Z
dc.descriptionA gradient Ricci soliton is a triple $(M,g,f)$ satisfying $R_{ij}+\nabla_i\nabla_j f=λg_{ij}$ for some real number $λ$. In this paper, we will show that the completeness of the metric $g$ implies that of the vector field $\nabla f$.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0807.1581
dc.identifierhttp://arxiv.org/abs/0807.1581
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172019
dc.subjectDifferential Geometry
dc.titleOn the Completeness of Gradient Ricci Solitons
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