Geometry & Topology Volume 22, issue 1 (2018)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Chord arc properties for constant mean curvature disks

William H Meeks, III and Giuseppe Tinaglia

Geometry & Topology 22 (2018) 305–322

DOI: 10.2140/gt.2018.22.305

Bibliography

1	T H Colding, W P Minicozzi II, The space of embedded minimal surfaces of fixed genus in a 3–manifold, IV : Locally simply connected, Ann. of Math. 160 (2004) 573 MR2123933
2	T H Colding, W P Minicozzi II, The Calabi–Yau conjectures for embedded surfaces, Ann. of Math. 167 (2008) 211 MR2373154
3	S Lojasiewicz, Triangulation of semi-analytic sets, Ann. Scuola Norm. Sup. Pisa 18 (1964) 449 MR0173265
4	F J López, A Ros, Complete minimal surfaces with index one and stable constant mean curvature surfaces, Comment. Math. Helv. 64 (1989) 34 MR982560
5	W H Meeks III, H Rosenberg, The minimal lamination closure theorem, Duke Math. J. 133 (2006) 467 MR2228460
6	W H Meeks III, H Rosenberg, Maximum principles at infinity, J. Differential Geom. 79 (2008) 141 MR2401421
7	W H Meeks III, G Tinaglia, Existence of regular neighborhoods for H–surfaces, Illinois J. Math. 55 (2011) 835 MR3069286
8	W H Meeks III, G Tinaglia, One-sided curvature estimates for H–disks, preprint (2014) arXiv:1408.5233
9	W H Meeks III, G Tinaglia, Curvature estimates for constant mean curvature surfaces, preprint (2015) arXiv:1502.06110
10	W H Meeks III, G Tinaglia, Limit lamination theorem for H–disks, preprint (2015) arXiv:1510.05155
11	W H Meeks III, G Tinaglia, The geometry of constant mean curvature surfaces in ℝ³, preprint (2016) arXiv:1609.08032v1
12	W H Meeks III, S T Yau, The classical Plateau problem and the topology of three-dimensional manifolds : the embedding of the solution given by Douglas–Morrey and an analytic proof of Dehn’s lemma, Topology 21 (1982) 409 MR670745
13	H Rosenberg, R Souam, E Toubiana, General curvature estimates for stable H–surfaces in 3–manifolds and applications, J. Differential Geom. 84 (2010) 623 MR2669367