2019-03-292019-03-07SANTOS, R. L. Os espaços conformemente flat E3 e F3. 2019. 72 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.http://repositorio.bc.ufg.br/tede/handle/tede/9409This work is a bibliographical research based on papers by Armando V. Corro, Romildo da Silva Pina and Marcelo Souza (2011) [7] and Kellcio Oliveira Araujo, Ningwei Cui and Romildo da Silva Pina (2015) [3]. In these papers the surfaces of rotation in the conformal flat space E3 and the helicoidal surfaces in the conformally flat space F3, respectively, are studied. We have shown that the theorems of Efimov and Shlenker, which generalizes the famous Hilbert Theorem, are not vowed in space E3. Furthermore, we characterize most common helicoidal surfaces in F3.application/pdfAcesso Abertohttp://creativecommons.org/licenses/by-nc-nd/4.0/Geometria diferencialGeometria riemannianaEspaço conformalmente flatSurperfícies de rotaçãoSuperfícies helicoidaisDifferential geometryRiemannan geometryConformal flat spaceRotation surfacesHelicoidal surfacesCIENCIAS EXATAS E DA TERRA::MATEMATICADissertação