2017-03-202017-03-03Borges, L. F. Sobre rigidez de métricas quasi-Einstein. 2017. 87 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.http://repositorio.bc.ufg.br/tede/handle/tede/6965In this work, we will present some concepts of quasi-Einstein metrics. From this, we will enunciate and demonstrate rigidity results for quasi-Einstein metrics until we have enough material to demonstrate a stiffness result for quasi-Einstein metrics of dimension two. Finally, we will give some concepts of Kähler metrics, prove a theorem and finally demonstrate a corollary that connects the main theorem of our work with Kähler metrics.application/pdfAcesso AbertoMétricas quase-EinsteinProduto torcidoRigidezMétricas KählerQuase-Einstein metricsWarped productRigidityKähler metricsMATEMATICA::GEOMETRIA E TOPOLOGIADissertação