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

preprint2020arXivOpen access

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

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Weak Counterexamples to L2L^2L2 Curvature Estimates for Minimizing Surfaces

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