Generalized Bernstein Theorem for Stable Minimal Plateau Surfaces
Differential Geometry
2022-10-24 v1
Abstract
In this paper, we consider a Generalized Bernstein Theorem for a type of generalized minimal surfaces, namely minimal Plateau surfaces. We show that if an orientable minimal Plateau surface is stable and has quadratic area growth in , then it is flat.
Cite
@article{arxiv.2210.11500,
title = {Generalized Bernstein Theorem for Stable Minimal Plateau Surfaces},
author = {Gaoming Wang},
journal= {arXiv preprint arXiv:2210.11500},
year = {2022}
}
Comments
13 pages, 3 figures. All comments are welcome!