most citedAn Inverse Problem for Renormalized Area: Determining the Bulk Metric with Minimal Surfaces

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math.DG2024★ 1 cited

An Inverse Problem for Renormalized Area: Determining the Bulk Metric with Minimal Surfaces

Jared Marx-Kuo

We present an inverse problem which uses the renormalized area functional on minimal submanifolds to recover the expansion of asymptotically hyperbolic, conformally compact metrics…

math.DG2023

Second Inner Variations of Energy and Index of Codimension Minimal Submanifolds

Jared Marx-Kuo

We compute the second inner variation of the Abelian Yang--Mills--Higgs and Ginzburg--Landau energies. Given a sequence of critical points with energy measures converging to a codi…