Research output: Contribution to journal › Article

William H. Meeks III, Giuseppe Tinaglia

Original language | English |
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Pages (from-to) | 809-837 |

Journal | ADVANCES IN MATHEMATICS |

Early online date | 26 Jul 2018 |

DOIs | |

Accepted/In press | 2 Jul 2018 |

E-pub ahead of print | 26 Jul 2018 |

Published | 7 Sep 2018 |

**Triply periodic constant mean_MEEKS_AcceptedJuly2018_GREEN AAM**2018_01_08_AIM_AreaT3.pdf, 1.56 MB, application/pdf

Uploaded date:25 Jul 2018

Version:Accepted author manuscript

Given a closed flat 3-torus N, for each H > 0 and each nonnegative integer g, we obtain area estimates for closed surfaces with genus g and constant mean curvature H embedded in N. This result contrasts with the theorem of Traizet [31], who proved that every flat 3-torus admits for every positive integer g with g = 2, connected closed embedded minimal surfaces of genus g with arbitrarily large area.

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