Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/26031
Título: | On the characterization of non-degenerate foliations of pseudo-Riemannian manifolds with conformally flat leaves |
Autor(es): | García-Parrado Gómez-Lobo, Alfonso |
Palavras-chave: | Foliation theory Conformal geometry |
Data: | 4-Jun-2013 |
Editora: | AIP Publishing |
Revista: | Journal of mathematical physics |
Resumo(s): | A necessary and sufficient condition for the leaves of a non-degenerate foliation of a pseudo-Riemannian manifold to be conformally flat is developed. The condition mimics the classical condition of the vanishing of the Weyl or Cotton tensor establish- ing the conformal flatness of a pseudo-Riemannian manifold in the sense that it is also formulated in terms of the vanishing of certain tensors. These tensors play the role of the Weyl or the Cotton tensors and they are defined in terms of the curvature of a linear torsion-free connection (the bi-conformal connection). |
Tipo: | Artigo |
Descrição: | Published online 4 June 2013 |
URI: | https://hdl.handle.net/1822/26031 |
DOI: | 10.1063/1.4807937 |
ISSN: | 0022-2488 |
Versão da editora: | http://dx.doi.org/10.1063/1.4807937 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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ConformallyFlatFoliation.pdf Acesso restrito! | Texto artigo | 460,52 kB | Adobe PDF | Ver/Abrir |