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High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! The Yamabe problem in differential geometry takes its name from the mathematician Hidehiko Yamabe. Although Yamabe claimed to have a solution in 1960, a critical error in his proof was discovered in 1968. The combined work of Neil Trudinger, Thierry Aubin, and Richard Schoen provided a complete solution to the problem as of 1984.