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A Sharp Isoperimetric Property of the Renormalized Area of a Minimal Surface in Hyperbolic Space

Differential Geometry 2021-04-28 v1 Mathematical Physics math.MP

Abstract

We prove an inequality bounding the renormalized area of a complete minimal surface in hyperbolic space in terms of the conformal length of its ideal boundary.

Keywords

Cite

@article{arxiv.2104.13317,
  title  = {A Sharp Isoperimetric Property of the Renormalized Area of a Minimal Surface in Hyperbolic Space},
  author = {Jacob Bernstein},
  journal= {arXiv preprint arXiv:2104.13317},
  year   = {2021}
}

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16 pages