2014-07-292011-10-102011-05-13HIEDA, Lidiane Mayumi. Minimal surfaces with constant curvature in 4-dimensional space forms. 2011. 82 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2011.http://repositorio.bc.ufg.br/tede/handle/tde/1941This work was based on papers On Compact Minimal Surfaces with non-negative Gaussian Curvature in a Space of Constant Curvature: I and Minimal Surfaces with Constant Curvature in 4-dimensional Space Forms, by Katsuei Kenmotsu, consisting in the classification of minimal surfaces with constant Gaussian curvature K in a 4-dimensional space form without any global assumption. We will show that an isometric minimal immersion x: M2(K) → M4(c), where c is sectional curvature, is either totally geodesic, or locally Clifford Torus, or locally a Veronese surface. As a corollary, we have that there is not isometric minimal immersions with constant negative Gaussian curvature into unit sphere S4(1) even locally.application/pdfAcesso AbertoSuperfícies mínimasCurvatura constanteImersões mínimas do 2-plano hiperbólicoForma fundamental de tensoresMinimal surfacesConstant curvatureMinimal immersions of the hyperbolic 2-planeFundamental forms tensorsSuperfícies mínimas; Curvatura constante; Imersões mínimas de 2-plano hiperbólico; Forma fundamental de tensoresCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICADissertação