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arXiv · 1709.09650

Asymptotically flat three-manifolds contain minimal planes

Otis Chodosh·Daniel Ketover
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Abstract

Let $(M,g)$ be an asymptotically flat $3$-manifold containing no closed embedded minimal surfaces. We prove that for every point $p\in M$ there exists a complete properly embedded minimal plane in $M$ containing $p$.

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Otis Chodosh, Daniel Ketover. 2017-09-27. Asymptotically flat three-manifolds contain minimal planes. https://doi.org/10.1016/j.aim.2018.08.010

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