Volume 21, issue 6 (2021)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Minimal surfaces with arbitrary topology in $\mathbb H^2\times \mathbb R$

Baris Coskunuzer

Algebraic & Geometric Topology 21 (2021) 3123–3151
Bibliography
1 P Collin, H Rosenberg, Construction of harmonic diffeomorphisms and minimal graphs, Ann. of Math. 172 (2010) 1879 MR2726102
2 B Coskunuzer, H–surfaces with arbitrary topology in hyperbolic 3–space, J. Geom. Anal. 27 (2017) 1211 MR3625148
3 B Coskunuzer, Asymptotic plateau problem in 2 × , Selecta Math. 24 (2018) 4811 MR3874705
4 B Coskunuzer, Asymptotic plateau problem in 2 × : tall curves, preprint (2020) arXiv:2006.01669
5 B Coskunuzer, W H Meeks III, G Tinaglia, Non-properly embedded H–planes in 2 × , Math. Ann. 370 (2018) 1491 MR3770172
6 H Federer, Geometric measure theory, 153, Springer (1969) MR0257325
7 L Ferrer, F Martín, W H Meeks III, Existence of proper minimal surfaces of arbitrary topological type, Adv. Math. 231 (2012) 378 MR2935393
8 L Hauswirth, B Nelli, R Sa Earp, E Toubiana, A Schoen theorem for minimal surfaces in 2 × , Adv. Math. 274 (2015) 199 MR3318149
9 L Hauswirth, H Rosenberg, Minimal surfaces of finite total curvature in × , Mat. Contemp. 31 (2006) 65 MR2385437
10 B R Kloeckner, R Mazzeo, On the asymptotic behavior of minimal surfaces in 2 × , Indiana Univ. Math. J. 66 (2017) 631 MR3641488
11 F Martín, R Mazzeo, M M Rodríguez, Minimal surfaces with positive genus and finite total curvature in 2 × , Geom. Topol. 18 (2014) 141 MR3158774
12 F Martín, M M Rodríguez, Non-simply connected minimal planar domains in 2 × , Trans. Amer. Math. Soc. 365 (2013) 6167 MR3105746
13 F Martín, B White, Properly embedded, area-minimizing surfaces in hyperbolic 3–space, J. Differential Geom. 97 (2014) 515 MR3263513
14 L Mazet, M M Rodríguez, H Rosenberg, The Dirichlet problem for the minimal surface equation, with possible infinite boundary data, over domains in a Riemannian surface, Proc. Lond. Math. Soc. 102 (2011) 985 MR2806098
15 B Nelli, H Rosenberg, Minimal surfaces in 2 × , Bull. Braz. Math. Soc. 33 (2002) 263 MR1940353
16 B Nelli, R Sa Earp, W Santos, E Toubiana, Uniqueness of H–surfaces in 2 × , |H|≤1 2, with boundary one or two parallel horizontal circles, Ann. Global Anal. Geom. 33 (2008) 307 MR2395188
17 M Rodríguez, G Tinaglia, Nonproper complete minimal surfaces embedded in 2 × , Int. Math. Res. Not. 2015 (2015) 4322 MR3356755
18 R Sa Earp, E Toubiana, An asymptotic theorem for minimal surfaces and existence results for minimal graphs in 2 × , Math. Ann. 342 (2008) 309 MR2425145