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

Zhenhua Liu

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arXiv · 2007.07450

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

Zhenhua Liu

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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 $L^2$ norm of second fundamental form.

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Zhenhua Liu. 2020-07-15. Weak Counterexamples to $L^2$ Curvature Estimates for Minimizing Surfaces. https://arxiv.org/abs/2007.07450

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