A rigidity theorem for properly embedded minimal surfaces in R3

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Abstract

We consider the question of when an intrinsic isometry of a properly embedded minimal surface is induced by an ambient isometry. We prove it always extends when the surface has at least two ends. © 1990, International Press of Boston, Inc. All Rights Reserved.

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Choi, H. I., Meeks, W. H., & White, B. (1990). A rigidity theorem for properly embedded minimal surfaces in R3. Journal of Differential Geometry, 32(1), 65–76. https://doi.org/10.4310/jdg/1214445037

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