Submitted by Erika Demachki (erikademachki@gmail.com) on 2017-04-24T22:03:45Z No. of bitstreams: 2 Dissertação - Hector Andrés Rosero García - 2017.pdf: 4670148 bytes, checksum: 8bc0d1f8d189cce09af8bc129ec5edcd (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-04-25T15:46:02Z (GMT) No. of bitstreams: 2 Dissertação - Hector Andrés Rosero García - 2017.pdf: 4670148 bytes, checksum: 8bc0d1f8d189cce09af8bc129ec5edcd (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2017-04-25T15:46:02Z (GMT). No. of bitstreams: 2 Dissertação - Hector Andrés Rosero García - 2017.pdf: 4670148 bytes, checksum: 8bc0d1f8d189cce09af8bc129ec5edcd (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-03-31 / Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq / In this work we develop the basics of the concept of Isocurved Surface, introduced in [2] by Barroso and Roitman, that is, a surface immersed in a 3-dimensional manifold M and which have the same Gaussian curvature induced by two different metrics. Later on, we show a geometric method to generate non-trivial examples of elliptic and hyperbolic isocurved surfaces for the particular case of M = R3+ and the Euclidean and hyperbolic metrics induced on it. We also exhibit some examples coming from the geometric method above. / Neste trabalho, desenvolvemos as bases do conceito de Superfície Isocurvada, introduzido em [2] por Barroso e Roitman, isto é, uma superfície imersa numa variedade 3-dimensional M a qual tem a mesma curvatura Gaussiana induzida por duas métricas diferentes em M. Segundo isso, mostramos um método geométrico para a geração de exemplos não triviais de superfícies isocurvadas elípticas e hiperbólicas no caso particular de M = R^3_+ com as métricas conformes Euclidiana e hiperbólica. Também exibimos alguns exemplos subjacentes ao método acima.