The Cylinder Theorem in ${\cal H}^2\times R$
Differential Geometry
2018-07-03 v1
Abstract
We consider cylinders in (see definitions in the introduction) and prove that a complete and connected surface in with the vanishing of the Gauss and extrinsic curvatures is a cylinder.
Cite
@article{arxiv.1807.00633,
title = {The Cylinder Theorem in ${\cal H}^2\times R$},
author = {João Lucas Marques Barbosa and Manfredo Perdigão do Carmo},
journal= {arXiv preprint arXiv:1807.00633},
year = {2018}
}
Comments
12 pages