Hidehiko Yamabe
| Hidehiko Yamabe | |
|---|---|
| Born | August 22, 1923 Ashiya, Hyōgo |
| Died | November 20, 1960 (aged 37) Evanston, Illinois |
| Nationality |  Japanese |
| Fields | Differential geometry, Group theory |
| Institutions | Osaka University, Princeton University, University of Minnesota, Northwestern University |
| Alma mater | University of Tokyo |
| Known for | Hilbert's fifth problem, Yamabe flow, Yamabe invariant, Yamabe problem |
| 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. His most notable work includes the final solution of Hilbert's fifth problem.[1]
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[edit] Life
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,[2] just months after accepting a full professorship at Northwestern University.
[edit] See also
[edit] Notes
- ^ According to Morikuni (1961, p. i): however, the question is still debated since in the literature there have been other such claims, largely based on different interpretations of Hilbert's statement of the problem given by various researchers. For a review of recent claims (however completely ignoring the contributions of Yamabe) and for a new one, see Rosinger (1998, pp. xiii–xiv and pp. 169–170). For a general review, including an historical sketch dealing with all contributors, see the Hilbert's fifth problem entry.
- ^ According to Morikuni (1961, p. i): Morikumi also reports that he precisely suffered from subarachnoid hemorrhage.
[edit] Bibliography
- Morikuni, Goto (1961), "Hidehiko Yamabe (1923–1960)", Osaka Mathematical Journal 13 (1): i–ii, MR0126362, Zbl 0095.00505, http://projecteuclid.org/euclid.ojm/1200690171. Available from Project Euclid.
- Rosinger, Elemér E. (1998), Parametric Lie Group Actions on Global Generalised Solutions of Nonliear PDE. Including a solution to Hilbert's Fifth Problem., Mathematics and Its Applications, 452, Doerdrecht–Boston–London: Kluwer Academic Publishers, pp. xvii+234, ISBN 0-7923-5232-7, MR1658516, Zbl 0934.35003, http://books.google.com/books?id=xqaRjdjkxvUC&printsec=frontcover#v=onepage&q&f=true.
[edit] References
- Boas, R. P., ed. (1967), Collected works of Hidehiko Yamabe, Notes on Mathematics and its Applications, New York–London–Paris: Gordon and Breach Science Publishers, pp. XII+142, MR0223206, Zbl 0153.30502
[edit] External links
- O'Connor, John J.; Robertson, Edmund F., "Hidehiko Yamabe", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Yamabe.html.
- University of Minnesota, School of Mathematics, History of the Yamabe Memorial Symposium, http://www.math.umn.edu/yamabe/history.html, retrieved May 16, 2011
- University of Minnesota, School of Mathematics, Yamabe Memorial Symposium, http://www.math.umn.edu/yamabe/, retrieved May 16, 2011
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