On Locally Conformally Flat Gradient Shrinking Ricci Solitons

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dc.creatorCao, Xiaodong
dc.creatorWang, Biao
dc.creatorZhang, Zhou
dc.date2008-07-03
dc.date2008-11-12
dc.date.accessioned2026-07-07T10:17:21Z
dc.date.available2026-07-07T10:17:21Z
dc.descriptionIn this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature. We then generalize this integral identity to complete noncompact gradient shrinking Ricci solitons, under the conditions that the Ricci curvature is bounded from below and the Riemannian curvature tensor has at most exponential growth. As a consequence of this identity, we classify complete locally conformally flat gradient shrinking Ricci solitons with Ricci curvature bounded from below.
dc.description13 pages, revised version, third author added
dc.identifierhttps://arxiv.org/abs/0807.0588
dc.identifierhttp://arxiv.org/abs/0807.0588
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173825
dc.subjectDifferential Geometry
dc.subject53C25, 53C44
dc.titleOn Locally Conformally Flat Gradient Shrinking Ricci Solitons
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