Department of Mathematics2024-11-0920100002-99392-s2.0-77952058392https://hdl.handle.net/20.500.14288/3095We show that for a generic simple closed curve Γ in the asymptotic boundary of a Gromov hyperbolic 3-space with cocompact metric X, there exists a unique least area plane Σ in X such that ∂∞Σ = Γ. This result has interesting topological applications for constructions of canonical 2-dimensional objects in Gromov hyperbolic 3-manifolds.pdfMathematicsJournal Article1088-6826280305000025Q2NOIR00023