On Einstein four-manifolds

dc.creatorCosta, Ézio de Araújo
dc.creatorCosta, Ézio de Araújo
dc.date.accessioned2022-10-07T15:54:56Z
dc.date.available2022-10-07T15:54:56Z
dc.date.issued2004
dc.identifier0393-0440
dc.identifierhttp://www.repositorio.ufba.br/ri/handle/ri/7477
dc.identifierv. 51, n. 2
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/4006252
dc.description.abstractIn this paper we obtain obstructions to the existence of Einstein metrics satisfying auxiliary sectional curvature bounds. In particular, we give sufficient conditions for a compact-oriented Einstein four-manifold M to be isometric to either the sphere S4 or the complex projective space CP2. Also, we improve the Hitchin–Thorpe’s inequality which relates the Euler characteristic of M and its signature.
dc.languageen
dc.publisherEBEPEGE
dc.sourcehttp://dx.doi.org/10.1016/j.geomphys.2003.10.013
dc.subjectFour-manifold
dc.subjectEinstein manifold
dc.subjectSectional curvature
dc.subjectEuler characteristic
dc.titleOn Einstein four-manifolds
dc.typeArtigo de Periódico


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