Variedades quasi-Einstein localmente conformemente planas

This work is based on [10] and aims to classify quasi-Einstein manifolds that are locally conformally flat. We prove that every complete, locally conformally flat, quasi-Einstein manifold, with dimension n ≥ 3, is either globally conformally equivalent to spaceform or locally the warped product, R×F...

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Detalles Bibliográficos
Autor: Menezes, I. F.
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2016
País:Brasil
Institución:Universidade Federal de Goiás (UFG)
Repositorio:Repositório Institucional da UFG
Idioma:portugués
OAI Identifier:oai:repositorio.bc.ufg.br:tede/6480
Acceso en línea:http://repositorio.bc.ufg.br/tede/handle/tede/6480
Access Level:acceso abierto
Palabra clave:Variedades quasi-Einstein
Produto tocido
Ricci solitons
Manifold quasi-Einstein
Product warped
CIENCIAS EXATAS E DA TERRA::MATEMATICA
Descripción
Sumario:This work is based on [10] and aims to classify quasi-Einstein manifolds that are locally conformally flat. We prove that every complete, locally conformally flat, quasi-Einstein manifold, with dimension n ≥ 3, is either globally conformally equivalent to spaceform or locally the warped product, R×Ffn−1, in which the fiber has constant curvature.