|
Geometry & Topology 10 (2006)
401–412
|
| 1 |
M T Anderson,
Complete
minimal varieties in hyperbolic space, Invent. Math. 69
(1982) 477–494 MR679768 |
| 2 |
M T Anderson,
Complete
minimal hypersurfaces in hyperbolic n–manifolds,
Comment. Math. Helv. 58 (1983) 264–290 MR705537 |
| 3 |
B Coskunuzer,
Uniform 1–cochains and genuine laminations,
arXiv:math.GT/0304094 |
| 4 |
B Coskunuzer,
Minimal
planes in hyperbolic space, Comm. Anal. Geom. 12 (2004)
821–836 MR2104077 |
| 5 |
D Gabai, On the
geometric and topological rigidity of hyperbolic
3–manifolds, J. Amer. Math. Soc. 10 (1997)
37–74 MR1354958 |
| 6 |
R Hardt, F H
Lin, Regularity at infinity
for area-minimizing hypersurfaces in hyperbolic space,
Invent. Math. 88 (1987) 217–224 MR877013 |
| 7 |
J Hass, P
Scott, The
existence of least area surfaces in 3–manifolds,
Trans. Amer. Math. Soc. 310 (1988) 87–114 MR965747 |
| 8 |
S Lang, Real
analysis, Addison-Wesley (1983) MR783635 |
| 9 |
U Lang, The asymptotic
Plateau problem in Gromov hyperbolic manifolds, Calc.
Var. Partial Differential Equations 16 (2003) 31–46
MR1951491 |
| 10 |
X Li-Jost, Uniqueness of minimal
surfaces in Euclidean and hyperbolic 3–space,
Math. Z. 217 (1994) 275–285 MR1296397 |
| 11 |
P Li, L F
Tam, Uniqueness and regularity
of proper harmonic maps, Ann. of Math. (2) 137 (1993)
167–201 MR1200080 |
| 12 |
P Li, L F
Tam, Uniqueness and
regularity of proper harmonic maps II, Indiana Univ.
Math. J. 42 (1993) 591–635 MR1237061 |
| 13 |
F H Lin,
Plateau's
problem for H–convex curves, Manuscripta Math. 58
(1987) 497–511 MR894867 |
| 14 |
F H Lin,
On the
Dirichlet problem for minimal graphs in hyperbolic
space, Invent. Math. 96 (1989) 593–612 MR996556 |
| 15 |
W H Meeks III,
S T Yau, The classical
Plateau problem and the topology of three-dimensional
manifolds., Topology 21 (1982) 409–442 MR670745 |
| 16 |
C B Morrey Jr,
The problem of
Plateau on a Riemannian manifold, Ann. of Math. (2) 49
(1948) 807–851 MR0027137 |
| 17 |
S Smale, An infinite dimensional
version of Sard's theorem, Amer. J. Math. 87 (1965)
861–866 MR0185604 |
| 18 |
F Tomi, A J
Tromba, Extreme curves bound
embedded minimal surfaces of the type of the disc,
Math. Z. 158 (1978) 137–145 MR486522 |
| 19 |
Y Tonegawa,
Existence and
regularity of constant mean curvature hypersurfaces in
hyperbolic space, Math. Z. 221 (1996) 591–615
MR1385170 |
