Department of Mathematics2024-11-1020100002-993910.1090/S0002-9939-10-10308-62-s2.0-77952058392http://dx.doi.org/10.1090/S0002-9939-10-10308-6https://hdl.handle.net/20.500.14288/16747We show that for a generic simple closed curve Gamma in the asymptotic boundary of a Gromov hyperbolic 3-space with cocompact metric X, there exists a unique least area plane Sigma in X such that partial derivative(infinity)Sigma = Gamma. This result has interesting topological applications for constructions of canonical 2-dimensional objects in Gromov hyperbolic 3-manifolds.Mathematics, AppliedMathematicsJournal Article280305000025Q211841