2015-05-192015-02-27ARGOTE, F. A. Z. A curvatura Gaussiana via ângulo de contato de superfícies imersas em S3. 2015. 78 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015.http://repositorio.bc.ufg.br/tede/handle/tede/4550In this work we refer to the study of a geometric invariant surfaces immersed in Euclidean 3-dimensional sphere S3. Such invariant, known as angle contact, is the complementary angle between the distribution of contact d and the tangent space of the surface. Montes and Verderesi [22] characterized the minimal surfaces in S3 with constant contact angle and Almeida, Brazil and Montes [4] studied some properties of immersed constant mean curvature into a round sphere S3 with constant contact angle. The our aim of this work is to deduce a general formula involving the Gaussian curvature, the mean curvature and the contact angle of surfaces immersed in Euclidean sphere 3-dimensional, which shows that the surface is flat if the contact angle is constant. Moreover, we deduce that the Clifford tori are the unique compact surfaces with constant mean curvature having such propriety. Keywordsapplication/pdfAcesso AbertoSuperfícies mínimasToro de CliffordCurvatura média constanteEsfera Euclidiana S3Ângulo de contatoMinimal surfacesClifford torusConstant mean curvatureEuclidian sphere S3Contact angleCIENCIAS EXATAS E DA TERRA::MATEMATICADissertação