Linear Weingraten factorable surfaces in isotropic spaces
Differential Geometry
2017-06-05 v1
Abstract
In this paper, we deal with the linear Weingarten factorable surfaces in the isotropic 3-space I^{3} satisfying the relation aK+bH=c, where K is the relative curvature and H the isotropic mean curvature, a,b,cR. We obtain a complete classification for such surfaces in I^{3}. As a further study, we classify all graph surfaces in I^{3} satisfying the relation K=H^{2}, which is the equality case of the famous Euler inequality for surfaces in a Euclidean space.
Cite
@article{arxiv.1604.01522,
title = {Linear Weingraten factorable surfaces in isotropic spaces},
author = {Muhittin Evren Aydin and Alper Osman Ogrenmis},
journal= {arXiv preprint arXiv:1604.01522},
year = {2017}
}
Comments
10 pages, no figure