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Convex hulls and area minimizing currents in asymptotically locally hyperbolic manifolds

Wood, Aidan F.
arXiv (OAI Expanded) · Papers
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differential-geometry
We solve the oriented asymptotic Plateau problem for integral currents of arbitrary codimension in conformally compact asymptotically locally hyperbolic manifolds without global curvature assumptions. This extends Anderson's theorem in hyperbolic space. A new ingredient is the construction of a barr
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