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arXiv · 2311.14484

On Almost-Fuchsian submanifodls of Hadamard spaces and the asymptotic Plateau problem

Samuel Bronstein
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Abstract

We consider minimal submanifolds of negatively curved spaces with small curvature. We show that in a Hadamard space with negatively pinched curvature $-C\leq K\leq -1$, complete minimal submanifolds with second fundamental form less than $1$ everywhere bound a class of spheres at infinity for which the asymptotic Plateau problem is uniquely solvable.

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Samuel Bronstein. 2023-11-24. On Almost-Fuchsian submanifodls of Hadamard spaces and the asymptotic Plateau problem. https://arxiv.org/abs/2311.14484

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