Translation surfaces of coordinate finite type
General Mathematics
2022-02-07 v1
Abstract
We consider translation surfaces in the 3-dimensional Euclidean space which are of coordinate finite type with respect to the third fundamental form , i.e. their position vector satisfies the relation , where is a square matrix of order 3. We show that Sherk's minimal surface is the only translation surface satisfying .
Cite
@article{arxiv.1902.03131,
title = {Translation surfaces of coordinate finite type},
author = {Hassan Al-Zoubi and Stylianos Stamatakis and Waseem Al-Mashaleh and Mohammed Awadallah},
journal= {arXiv preprint arXiv:1902.03131},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1710.07619