dc.creatorSantos, Almir Rogério Silva
dc.date2013-12-10T16:50:55Z
dc.date2013-12-10T16:50:55Z
dc.date2010-05
dc.date.accessioned2023-09-28T22:55:53Z
dc.date.available2023-09-28T22:55:53Z
dc.identifierSANTOS, A. S. A construction of constant scalar curvature manifolds with delaunay-type ends. Annales Henri Poincaré, Lyon, v. 10, N. 8, p. 1487-1535, maio 2010. Disponível em: <http://dx.doi.org/10.1007/s00023-010-0024-9>. Acesso em: 10 dez. 2013.
dc.identifier1424-0661
dc.identifierhttps://ri.ufs.br/handle/riufs/824
dc.identifierAutorizado o arquivamento da versão manuscrita 12 meses após a publicação.
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9080803
dc.descriptionIt has been showed by Byde that it is possible to attach a Delaunay-type end to a compact nondegenerate manifold of positive constant scalar curvature, provided it is locally conformally flat in a neighborhood of the attaching point. The resulting manifold is noncompact with the same constant scalar curvature. The main goal of this paper is to generalize this result. We will construct a one-parameter family of solutions to the positive singular Yamabe problem for any compact non-degenerate manifold with Weyl tensor vanishing to sufficiently high order at the singular point. If the dimension is at most 5, no condition on the Weyl tensor is needed. We will use perturbation techniques and gluing methods.
dc.formatapplication/pdf
dc.languageen
dc.publisherSpringer
dc.subjectProblema de Yamabe Singular
dc.subjectCurvatura escalar constante
dc.subjectTensor de Weyl
dc.subjectMétodo de colagem
dc.subjectSingular Yamabe Problem
dc.subjectConstant scalar curvature
dc.subjectWeyl tensor
dc.subjectGluing method
dc.titleA construction of constant scalar curvature manifolds with delaunay-type ends
dc.typeArtigo


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