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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1988 May;85(10):3277–3278. doi: 10.1073/pnas.85.10.3277

Douglas' solution of the Plateau problem

Victor Guillemin *, Bertram Kostant *, Shlomo Sternberg
PMCID: PMC280191  PMID: 16593927

Abstract

Using ideas suggested by some recent developments in string theory, we give here an elementary demonstration of one of the key steps in Douglas' celebrated proof of the existence of solutions of the Plateau problem in n dimensions.

Keywords: minimal surface; representation of SL(2, R)

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