Open Access
July 2014 Properly embedded, area-minimizing surfaces in hyperbolic 3-space
Francisco Martín, Brian White
J. Differential Geom. 97(3): 515-544 (July 2014). DOI: 10.4310/jdg/1406033978


We prove a bridge principle at infinity for area-minimizing surfaces in the hyperbolic $\mathbb{H}^3$, and we use it to prove that any open, connected, orientable surface can be properly embedded in $\mathbb{H}^3$as an area-minimizing surface. Moreover, the embedding can be constructed in such a way that the limit sets of different ends are disjoint.


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Francisco Martín. Brian White. "Properly embedded, area-minimizing surfaces in hyperbolic 3-space." J. Differential Geom. 97 (3) 515 - 544, July 2014.


Published: July 2014
First available in Project Euclid: 22 July 2014

zbMATH: 1295.53066
MathSciNet: MR3263513
Digital Object Identifier: 10.4310/jdg/1406033978

Rights: Copyright © 2014 Lehigh University

Vol.97 • No. 3 • July 2014
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