@article{a53a1b10ad2e4be5a2e35e9efc6505aa,
title = "Asymptotically flat three-manifolds contain minimal planes",
abstract = "Let (M,g) be an asymptotically flat 3-manifold containing no closed embedded minimal surfaces. We prove that for every point p∈M there exists a complete properly embedded minimal plane in M containing p.",
keywords = "Asymptotically flat manifolds, Degree theory, Minimal surfaces",
author = "Otis Chodosh and Daniel Ketover",
note = "Funding Information: Acknowledgments: O.C. was partially supported by the Oswald Veblen Fund and NSF grants DMS 1638352 and DMS 1811059. D.K. was partially supported by NSF Postdoctoral Fellowship DMS 1401996. We are grateful to the referee for a careful reading, and in particular for pointing out a mistake in the original version of Proposition 17. O.C. would also like to thank Florian Johne for several useful comments on the first version of this article. Publisher Copyright: {\textcopyright} 2018",
year = "2018",
month = oct,
day = "15",
doi = "10.1016/j.aim.2018.08.010",
language = "English (US)",
volume = "337",
pages = "171--192",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}