Translation surfaces in Euclidean space with constant Gaussian curvature
Differential Geometry
2018-09-11 v1
Abstract
We prove that the only surfaces in -dimensional Euclidean space with constant Gaussian curvature and constructed by the sum of two space curves are cylindrical surfaces, in particular, .
Keywords
Cite
@article{arxiv.1809.02758,
title = {Translation surfaces in Euclidean space with constant Gaussian curvature},
author = {Thomas Hasanis and Rafael López},
journal= {arXiv preprint arXiv:1809.02758},
year = {2018}
}
Comments
28 pages