Thesis (M.S.)--Brigham Young University. Dept. of Mathematics, 2007. / Includes bibliographical references (p. 57-58).

Made available in DSpace on 2014-07-29T16:02:16Z (GMT). No. of bitstreams: 1 Dissertacao Wesley da Silva Ruys.pdf: 298365 bytes, checksum: 01bf0ecb806598423d8588c432e67090 (MD5) Previous issue date: 2008-02-20 / In 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. / Neste trabalho estudamos alguns resultados do artigo de Mercuri, F., Piu, Stefano Montaldo P, Weierstrass Representation Formula for Minimal Surfaces in H3 and H2 x R. Consequentemente fazemos um estudo de superfícies mínimas simplesmente conexas em variedades Riemaniannas tridimensionais, buscando determinar as condições necessárias para encontrar superfícies mínimas nestes espaços. Alem disso, dar exemplos dessas superfícies no grupo tridimensional de Heisenberg e no produto do plano hiperbólico com a reta real.