The slab theorem for minimal surfaces in $$\mathbb {E}(-1,\tau )$$ E (

The slab theorem for minimal surfaces in $$\mathbb {E}(-1,\tau )$$ E ( - 1 , τ )

Published:2016-10-06 Issue:2 Volume:51 Page:189-208
ISSN:0232-704X
Container-title:Annals of Global Analysis and Geometry
language:en
Short-container-title:Ann Glob Anal Geom

Author:

Lima Vanderson^ORCID

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10455-016-9531-3.pdf

Reference19 articles.

1. Bernstein, J., Brenner, C.: Conformal structure of minimal surfaces with Finite topology. Com- ment. Math. Helv. 86(2), 353–381 (2011)

2. Colding, T.H., Minicozzi II, W.P.: The space of embedded minimal surfaces of fixed genus in a 3-manifold. I. Estimates off the axis for disks. Ann. Math. (2) 160(1), 27–68 (2004)

3. Colding, T.H., Minicozzi II, W.P.: The Calabi–Yau conjectures for embedded surfaces. Ann. Math. (2) 167(1), 211243 (2008)

4. Collin, P.: Topologie et courbure des surfaces minimales proprement plongées de $${\mathbb{R}^{3}}$$ R 3 . Ann. Math. 145, 1–31 (1997)

5. Collin, P., Hauswirth, L., Rosenberg, H.: Minimal surfaces in finite volume hyperbolic 3-manifolds and $$M\times {\mathbb{S}}^{1}$$ M × S 1 , $$M$$ M a finite area hyperbolic surface. arXiv:1304.1773

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