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arXiv · 1812.10728

A note on minimal surfaces with bounded index

Davi Maximo
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Abstract

For any closed Riemannian three-manifold, we prove that for any sequence of closed embedded minimal surfaces with uniformly bounded index, the genus can only grow at most linearly with respect to the area.

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Davi Maximo. 2018-12-27. A note on minimal surfaces with bounded index. https://arxiv.org/abs/1812.10728

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