Minimal translation hypersurfaces in E4

Marilena Moruz (1) , Marian Ioan Munteanu

1 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

In this paper we consider hypersurfaces in the Euclidean space E4 defined as the sum of a curve and a surface whose mean curvature vanishes. We call them minimal translation hypersurfaces in E4 and give a classification of these hypersurfaces.

Mots clés: Minimal surface; Scherk surface; Translation surface

Domaines: Mathématiques [math]

Marilena Moruz, Marian Ioan Munteanu. Minimal translation hypersurfaces in E4. Journal of Mathematical Analysis and Applications, 2016, 439 (2), pp.798-812. ⟨10.1016/j.jmaa.2016.02.077⟩. ⟨hal-03187545⟩