2014-07-292009-05-202008-02-20RUYS, Wesley da Silva. Minimal surfaces in H3 and H2 x R. 2008. 60 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2008.http://repositorio.bc.ufg.br/tede/handle/tde/1930In this work we study some results from the article of Mercuri, F., Piu, P., Montaldo, S; Weierstrass Representation Formula for Minimal Surfaces in H3 and H2 x R. Therefore, we do a study of the minimal surfaces simply connected in three-dimensional Riemaniann manifold. Furthermore, searching for to determine the necessary conditions to find minimal surfaces in these spaces. Moreover, to give examples of the surfaces in the three-dimensional Heisenberg group and in the product of the hyperbolic with the real line.application/pdfAcesso Abertosuperfícies mínimasgeometriaMinimal surfaces/ geometryCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICADissertação