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On the number of solutions to the asymptotic plateau problem
By using a simple topological argument, we show that the space of closed, orientable, codimension-1 submanifolds of Sn−1 1 (Hn) which bound a unique absolutely area minimizing hypersurface in Hn is dense in the space of closed, orientable, codimension-1 submanifolds of Sn−1 1 (Hn). In particular, in
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