Hidehiko Yamabe
| Hidehiko Yamabe | |
|---|---|
| Born |
August 22, 1923 Ashiya, Hyōgo |
| Died | November 20, 1960 (aged 37) Evanston, Illinois |
| Nationality | Japanese |
| Alma mater | University of Tokyo |
| Known for | Hilbert's fifth problem, Yamabe flow, Yamabe invariant, Yamabe problem |
| Scientific career | |
| Fields | Differential geometry, Group theory |
| Institutions | Osaka University, Princeton University, University of Minnesota, Northwestern University |
| Doctoral advisor | Shokichi Iyanaga |
| Influenced | Differential geometry, Group theory |
Hidehiko Yamabe (山辺 英彦 Yamabe Hidehiko, August 22, 1923 in Ashiya, Hyōgo, Japan – November 20, 1960 in Evanston, Illinois) was a Japanese mathematician. Above all, he is famous for discovering that every conformal class on a smooth compact manifold is represented by a Riemannian metric of constant scalar curvature. Other notable contributions include his definitive solution of Hilbert's fifth problem.
Hidehiko Yamabe was born on August 22, 1923 in the city of Ashiya, belonging to the Hyōgo Prefecture, the sixth son of Takehiko and Rei Yamabe. After completing the Senior High School in September 1944, he joined Tokyo University as a student of the Department of Mathematics and graduated in September 1947: his doctoral advisor was Shokichi Iyanaga. He was then associated with the Department of Mathematics at Osaka University until June 1956, even while employed by the Department of Mathematics at Princeton University in Princeton, New Jersey. Shortly before coming to the United States of America, Yamabe married his wife Etsuko, and by 1956 they had two daughters. Yamabe died suddenly of a stroke in November 1960, just months after accepting a full professorship at Northwestern University.
After graduating from the University of Tokyo in 1947, Yamabe became an assistant at Osaka University. From 1952 until 1954 he was an assistant at Princeton University, receiving his Ph.D. from Osaka University while at Princeton. He left Princeton in 1954 to become assistant professor at the University of Minnesota. Except for one year as a professor at Osaka University, he stayed in Minnesota until 1960. Yamabe died suddenly of a stroke in November 1960, just months after accepting a full professorship at Northwestern University.
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