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Limit Lamination Theorems for H-surfaces

Research output: Contribution to journalArticle

William H. Meeks III, Giuseppe Tinaglia

Original languageEnglish
Pages (from-to)269-296
Number of pages28
JournalJournal fur die Reine und Angewandte Mathematik
Volume2019
Issue number748
Early online date18 Aug 2016
DOIs
Accepted/In press25 Apr 2016
E-pub ahead of print18 Aug 2016
Published1 Mar 2019

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Abstract

In this paper we prove some general results for constant mean curvature lamination limits of certain sequences of compact surfaces M n embedded in ℝ 3 with constant mean curvature H n and fixed finite genus, when the boundaries of these surfaces tend to infinity. Two of these theorems generalize to the non-zero constant mean curvature case, similar structure theorems by Colding and Minicozzi in [6, 8] for limits of sequences of minimal surfaces of fixed finite genus.

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