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Least area planes in hyperbolic 3-space are properly embedded

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We show that if Sigma is an embedded least area (area minimizing) plane in H(3) whose asymptotic boundary is a simple closed curve with at least one smooth point, then Sigma is properly embedded in H(3).

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Indiana University Mathematics Journal

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Indiana University Mathematics Journal

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10.1512/iumj.2009.58.3447

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