Sobre variedades m-quase-Einstein: rigidez e rórmulas estruturais
Ano de defesa: | 2020 |
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Autor(a) principal: | |
Orientador(a): | |
Banca de defesa: | |
Tipo de documento: | Dissertação |
Tipo de acesso: | Acesso aberto |
Idioma: | por |
Instituição de defesa: |
Universidade Federal da Paraíba
Brasil Matemática Programa de Pós-Graduação em Matemática UFPB |
Programa de Pós-Graduação: |
Não Informado pela instituição
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Departamento: |
Não Informado pela instituição
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País: |
Não Informado pela instituição
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Palavras-chave em Português: | |
Link de acesso: | https://repositorio.ufpb.br/jspui/handle/123456789/21139 |
Resumo: | In this dissertation, we treat about m-quasi-Einstein manifolds and one of its generalizations. We present demonstrations of rigidity results and structural formulasobtained by several authors in distinct publications, standing out the characterizationof complete m-quasi-Einstein Riemannian manifolds as space forms, given by Barros and Ribeiro at a work published in 2014, whose same thesis was obtained from other hypothesis provided by Barros and Gomes at a 2013 publication. We also show topo- logical results about volume growthof geodesic balls on quasi-Einstein manifolds that are also Einsten, presented by Barros, Ribeiro and Batista in 2014. Also noteworthy the approach of the work due to Catino at the paper Generalized quasi-Einstein manifolds with harmonic Weyl tensor, published in 2012 on the Mathematische Zeitschrift, where show up that a complete Einstein manifold with quasi-Einstein structure, harmonic Weyl tensor and zero radial Weyl curvature is locally a warped product with (n − 1)-dimensional Einstein ber. |