On the self-CPG curves and the Bj\"orling problem
Differential Geometry
2011-12-12 v4
Abstract
Schwartz's solution to the Bj\"orling problem leads to an equivalence class of spatial strips S(t)=(c(t),n(t)) which produce equivalent minimal surfaces. For the particular case when the generating strip S(t) belongs to some plane E and c(t) is symmetric with respect to some straight line in E, the symmetries of the minimal surface permit us to identify another planar curve ~c(t) that we call the CPG curve to c(t). A simple symmetric argument shows that self-CPG curves produce minimal surfaces whose adjoint surface contains another self-CPG curve. We ask for minimal surfaces generated by self-CPG curves which are self-adjoints.
Keywords
Cite
@article{arxiv.1010.3049,
title = {On the self-CPG curves and the Bj\"orling problem},
author = {Hugo Jiménez-Pérez and Santiago López de Medrano},
journal= {arXiv preprint arXiv:1010.3049},
year = {2011}
}
Comments
12 pages, no figures. Restate of the principal result: mayor modifications