Minimal surfaces with micro-oscillations
Differential Geometry
2018-02-26 v2 Analysis of PDEs
Abstract
We show that there are minimal graphs in R^{n+1} whose intersection with the portion of the horizontal hyperplane contained in the unit ball has any prescribed geometry, up to a small deformation. The proof hinges on the construction of minimal graphs that are almost flat but have small oscillations whose geometry we can control.
Cite
@article{arxiv.1602.04978,
title = {Minimal surfaces with micro-oscillations},
author = {Alberto Enciso and M. Angeles Garcia-Ferrero and Daniel Peralta-Salas},
journal= {arXiv preprint arXiv:1602.04978},
year = {2018}
}
Comments
5 pages