Hidehiko Yamabe
Hidehiko Yamabe | |
|---|---|
| Born | August 22, 1923 |
| Died | November 20, 1960 (aged 37) |
| 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 |
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.