Affine factorable surfaces in isotropic spaces
Differential Geometry
2018-02-02 v1
Abstract
In this paper, we study the problem of finding the affine factorable surfaces in a 3-dimensional isotropic space with prescribed Gaussian (K) and mean (H) curvature. Because the absolute figure two different types of these surfaces appear by permutation of coordinates. We firstly classify the affine factorable surfaces of type 1 with K,H constants. Afterwards, we provide the affine factorable surfaces of type 2 with K=const. and H=0. In addition, in a particular case, the affine factorable surfaces of type 2 with H=const. were obtained.
Cite
@article{arxiv.1802.00240,
title = {Affine factorable surfaces in isotropic spaces},
author = {Muhittin Evren Aydin and Ayla Erdur and Mahmut Ergut},
journal= {arXiv preprint arXiv:1802.00240},
year = {2018}
}
Comments
13 pages. Your comments are welcome