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arXiv · 2606.17190

Renormalized area of minimal surfaces in hyperbolic space

Matthew J. Gursky·Khoi Nguyen·Aaron J. Tyrrell
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Abstract

In this paper we consider minimal surfaces in hyperbolic space of arbitrary codimension that are critical for renormalized area. We give two criteria which imply that $Y$ must be a totally geodesic disk. One can be viewed as a 'gap' result for the renormalized area.

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Matthew J. Gursky, Khoi Nguyen, Aaron J. Tyrrell. 2026-06-15. Renormalized area of minimal surfaces in hyperbolic space. https://arxiv.org/abs/2606.17190

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