%0 Journal Article
%T On the Geometry of the Second Fundamental Form of Translation Surfaces in E3
%A Marian Ioan Munteanu
%A Ana Irina Nistor
%J Mathematics
%D 2008
%I arXiv
%X In this paper we study the second fundamental form of translation surfaces in E3. We give a non-existence result for polynomial translation surfaces in E3 with vanishing second Gaussian curvature KII. We classify those translation surfaces for which KII and H are proportional. Finally we obtain that there are no II-minimal translation surfaces in the Euclidean 3-space.
%U http://arxiv.org/abs/0812.3166v1