Limit Lamination Theorems for H-surfaces Article Swipe

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YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.1515/crelle-2016-0038

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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Lamination Limit (mathematics) Mathematics Materials science Composite material Mathematical analysis Layer (electronics)

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Type: article
Language: en
Landing Page: https://kclpure.kcl.ac.uk/portal/en/publications/ee72aada-3b8a-48a5-8070-0117ed45b4e3
PDF: http://arxiv.org/abs/1510.07549
OA Status: gold
Cited By: 2
References: 38
Related Works: 10
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DOI: https://doi.org/10.1515/crelle-2016-0038

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Title: Limit Lamination Theorems for H-surfaces

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Type: article

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Language: en

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Publication year: 2019

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Publication date: 2019-03-01

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Authors: William H. Meeks, Giuseppe Tinaglia

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Landing page: https://kclpure.kcl.ac.uk/portal/en/publications/ee72aada-3b8a-48a5-8070-0117ed45b4e3

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Concepts: Lamination, Limit (mathematics), Mathematics, Materials science, Composite material, Mathematical analysis, Layer (electronics)

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Cited by: 2

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