Translation hypersurfaces with constant Sr curvature in the Euclidean space

Barnabe Pessoa Lima; Paulo Alexandre Araujo Sousa; Juscelino Pereira Silva; Newton Luis Santos

Translation hypersurfaces with constant Sr curvature in the Euclidean space

Differential Geometry 2014-02-12 v1

Authors: Barnabe Pessoa Lima , Paulo Alexandre Araujo Sousa , Juscelino Pereira Silva , Newton Luis Santos

Abstract

In this paper, we give a complete description of all translation hypersurfaces with constant r-curvature Sr, in the Euclidean space.

Keywords

translation hypersurfaces constant r-curvature Euclidean space differential geometry Sr curvature

Cite

@article{arxiv.1402.2362,
  title  = {Translation hypersurfaces with constant Sr curvature in the Euclidean space},
  author = {Barnabe Pessoa Lima and Paulo Alexandre Araujo Sousa and Juscelino Pereira Silva and Newton Luis Santos},
  journal= {arXiv preprint arXiv:1402.2362},
  year   = {2014}
}