Sur la géométrie des surfaces dans les espaces H^2xR et Nil3

Abstract

The initial subject of research was the study of minimal translation surfaces in the product space H2 ×R (the product space of the half Poincaré plane H2 and the real space R). On the other hand the study of surfaces of constant extrinsic Gaussian curvature in the Heisenberg space noted Nil3, this homogeneous space interests geometers by the fact that it admits a fairly large mobility (because its group of isometries is dimension four) and it admits a simply transitive subgroup of isometries which is nilpotent.