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Carleman Estimate for Surface in Euclidean Space at Infinity (1703.08759v1)

Published 26 Mar 2017 in math.DG

Abstract: This paper develops a Carleman type estimate for immersed surface in Euclidean space at infinity. With this estimate, we obtain an unique continuation property for harmonic functions on immersed surfaces vanishing at infinity, which leads to rigidity results in geometry.

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