Asymptotically flat three-manifolds contain minimal planes

Otis Chodosh, Daniel Ketover

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)171-192
Number of pages22
JournalAdvances in Mathematics
Volume337
DOIs
StatePublished - Oct 15 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Asymptotically flat manifolds
  • Degree theory
  • Minimal surfaces

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