CYCLIC MINIMAL SURFACES IN R3, S2 X R AND H2 X R / SUPERFÍCIES MÍNIMAS CÍCLICAS EM R3, S2 X R E H2 X R
AUTOR(ES)
LEANDRO TAVARES DA SILVA
DATA DE PUBLICAÇÃO
2007
RESUMO
In this work we describe minimal surfaces embedded in product spaces M x R, where M = R2, S2 and H2 which are foliated by geodesics (ruled surfaces) and curves of M with constant curvature (cyclic surfaces). In R2 x R, i.e. R3, we shall prove that there exist only two minimal cyclic surfaces which are the catenoid and the Riemann example. Then we characterize minimal cyclic surfaces in S2 x R; they form a two-parameter family. Finally we exhibit three two-parameter families of minimal cyclic surfaces in H2 x R.
ASSUNTO(S)
geometria diferencial differential geometry superficies minimas minimal surfaces
