Cohomogeneity one Einstein-Sasaki 5-manifolds

dc.creatorConti, Diego
dc.date2006-06-14
dc.date2007-03-19
dc.date.accessioned2026-07-07T10:42:38Z
dc.date.available2026-07-07T10:42:38Z
dc.descriptionWe consider hypersurfaces in Einstein-Sasaki 5-manifolds which are tangent to the characteristic vector field. We introduce evolution equations that can be used to reconstruct the 5-dimensional metric from such a hypersurface, analogous to the (nearly) hypo and half-flat evolution equations in higher dimensions. We use these equations to classify Einstein-Sasaki 5-manifolds of cohomogeneity one.
dc.description22 pages. v2: remarks added concerning the parameter m having no effect on the metric, and the non-existence of metrics on the link L(2,2,2,3); statements and proofs of main theorems modified in light of a more precise characterization of the cohomogeneity one diagrams. v3: presentation improved. To appear in Comm. Math. Phys
dc.identifierhttps://arxiv.org/abs/math/0606323
dc.identifierhttp://arxiv.org/abs/math/0606323
dc.identifierCommun.Math.Phys.274:751-774,2007
dc.identifierdoi:10.1007/s00220-007-0286-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182013
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject53C25 (Primary) 53C30, 57S15 (Secondary)
dc.titleCohomogeneity one Einstein-Sasaki 5-manifolds
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