Three-dimensional Ricci solitons which project to surfaces

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dc.creatorBaird, Paul
dc.creatorDanielo, Laurent
dc.date2005-10-14
dc.date.accessioned2026-07-07T06:47:30Z
dc.date.available2026-07-07T06:47:30Z
dc.descriptionWe study $3$-dimensional Ricci solitons which project via a semi-conformal mapping to a surface. We reformulate the equations in terms of parameters of the map; this enables us to give an ansatz for constructing solitons in terms of data on the surface. A complete description of the soliton structures on all the $3$-dimensional geometries is given, in particular, non-gradient solitons are found on Nil and Sol.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0510313
dc.identifierhttp://arxiv.org/abs/math/0510313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103674
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject57M50; 35Q51
dc.titleThree-dimensional Ricci solitons which project to surfaces
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