2014-08-062012-04-16CHAVES, Newton Mayer Solorzano. Volumes e curvaturas médias na geometria de Finsler: superfícies mínimas. 2012. 75 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2012.http://repositorio.bc.ufg.br/tede/handle/tde/2885In Finsler geometry, we have several volume forms, hence various of mean curvature forms. The two best known volumes forms are the Busemann-Hausdorff and Holmes- Thompson volume form. The minimal surface with respect to these volume forms are called BH-minimal and HT-minimal surface, respectively. Let (R3; eFb) be a Minkowski space of Randers type with eFb = ea+eb; where ea is the Euclidean metric and eb = bdx3; 0 < b < 1: If a connected surface M in (R3; eFb) is minimal with respect to both volume forms Busemann-Hausdorff and Holmes-Thompson, then up to a parallel translation of R3; M is either a piece of plane or a piece of helicoid which is generated by lines screwing along the x3-axis. Furthermore it gives an explicit rotation hypersurfaces BH-minimal and HT-minimal generated by a plane curve around the axis in the direction of eb] in Minkowski (a;b)-space (Vn+1; eFb); where Vn+1 is an (n+1)-dimensional real vector space, eFb = eaf eb ea ; ea is the Euclidean metric, eb is a one form of constant length b = kebkea; eb] is the dual vector of eb with respect to ea: As an application, it give us an explicit expression of surface of rotation “ forward” BH-minimal generated by the rotation around the axis in the direction of eb] in Minkowski space of Randers type (V3; ea+eb):application/pdfAcesso abertoEspaços de Minkowski do tipo RandersCurvatura MédiaBH-mínimaHT-mínimaMinkowski Space of Randers typeMean CurvatureBH-minimalHT-minimalCIENCIAS EXATAS E DA TERRA::MATEMATICADissertação