English

Weak Counterexamples to $L^2$ Curvature Estimates for Minimizing Surfaces

Differential Geometry 2020-07-16 v1

Abstract

We construct a sequence of smooth minimizing surfaces in a sequence of metrics converging to the standard Euclidean metric, so that they have diverging L2L^2 norm of second fundamental form.

Keywords

Cite

@article{arxiv.2007.07450,
  title  = {Weak Counterexamples to $L^2$ Curvature Estimates for Minimizing Surfaces},
  author = {Zhenhua Liu},
  journal= {arXiv preprint arXiv:2007.07450},
  year   = {2020}
}
R2 v1 2026-06-23T17:07:43.788Z