Geometry & Topology Volume 10, issue 1 (2006)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Generic uniqueness of least area planes in hyperbolic space

Baris Coskunuzer

Geometry & Topology 10 (2006) 401–412

DOI: 10.2140/gt.2006.10.401

Bibliography

1	M T Anderson, Complete minimal varieties in hyperbolic space, Invent. Math. 69 (1982) 477 MR679768
2	M T Anderson, Complete minimal hypersurfaces in hyperbolic n–manifolds, Comment. Math. Helv. 58 (1983) 264 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 MR2104077
5	D Gabai, On the geometric and topological rigidity of hyperbolic 3–manifolds, J. Amer. Math. Soc. 10 (1997) 37 MR1354958
6	R Hardt, F H Lin, Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space, Invent. Math. 88 (1987) 217 MR877013
7	J Hass, P Scott, The existence of least area surfaces in 3–manifolds, Trans. Amer. Math. Soc. 310 (1988) 87 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 MR1951491
10	X Li-Jost, Uniqueness of minimal surfaces in Euclidean and hyperbolic 3–space, Math. Z. 217 (1994) 275 MR1296397
11	P Li, L F Tam, Uniqueness and regularity of proper harmonic maps, Ann. of Math. (2) 137 (1993) 167 MR1200080
12	P Li, L F Tam, Uniqueness and regularity of proper harmonic maps II, Indiana Univ. Math. J. 42 (1993) 591 MR1237061
13	F H Lin, Plateau’s problem for H–convex curves, Manuscripta Math. 58 (1987) 497 MR894867
14	F H Lin, On the Dirichlet problem for minimal graphs in hyperbolic space, Invent. Math. 96 (1989) 593 MR996556
15	W H Meeks III, S T Yau, The classical Plateau problem and the topology of three-dimensional manifolds., Topology 21 (1982) 409 MR670745
16	C B Morrey Jr, The problem of Plateau on a Riemannian manifold, Ann. of Math. (2) 49 (1948) 807 MR0027137
17	S Smale, An infinite dimensional version of Sard’s theorem, Amer. J. Math. 87 (1965) 861 MR0185604
18	F Tomi, A J Tromba, Extreme curves bound embedded minimal surfaces of the type of the disc, Math. Z. 158 (1978) 137 MR486522
19	Y Tonegawa, Existence and regularity of constant mean curvature hypersurfaces in hyperbolic space, Math. Z. 221 (1996) 591 MR1385170