Georges Reeb
Georges Reeb | |
|---|---|
 | |
| Born | 12 November 1920 |
| Died | 6 November 1993 (aged 72) |
| Nationality | French |
| Alma mater | University of Strasbourg |
| Known for | Foliation Reeb foliation Reeb graph Reeb sphere theorem Reeb stability theorem Reeb vector field |
| Awards | Prize Petit-D'Ormoy (1971) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Strasbourg |
| Thesis | Propriétés topologiques des variétés feuilletées (1948) |
| Doctoral advisor | Charles Ehresmann |
| Doctoral students | Claude Godbillon Jean Martinet |
Georges Henri Reeb (12 November 1920 – 6 November 1993) was a French
Biography
Reeb was born in
After the war, he completed his studies and in 1948 he defended his PhD thesis, entitled Propriétés topologiques des variétés feuilletées [Topological properties of foliated manifolds] and supervised by Charles Ehresmann.[2]
In 1952 Reeb was appointed professor at
There, in 1965 he created with
In 1967 he was President of the Société Mathématique de France[5] and in 1971 he was awarded the Prize Petit d'Ormoy.[1][3]
In 1991 Reeb received an honorary doctorate from
Research
Reeb was the founder of the topological theory of
One of its first significant result,
His works on foliations had also applications in
Other important geometric concepts named after him include the
Towards the end of his career, Reeb become a supporter of the theory of non-standard analysis by Abraham Robinson, coining the slogan "The naïve integers don't fill up "[9][10] and working on its applications to dynamical systems.[11]
Selected works
Books
- with Wu Wen-Tsün: Sur les espaces fibrés et les variétés feuilletées, 1952[12]
- with A. Fuchs: Statistiques commentées, 1967
- with J. Klein: Formules commentées de mathématiques: Programme P.C., 1971
- Feuilletages: résultats anciens et nouveaux (Painlevé, Hector et Martinet), 1974
Articles
- "Sur les points singuliers d'une forme de Pfaff complètement intégrable ou d'une fonction numérique". C. R. Acad. Sci. Paris. 222: 847–849. 1946.
- "Variétés feuilletées, feuilles voisines". C. R. Acad. Sci. 224. Paris: 1613–1614. 1947.
- "Sur certaines propriétés topologiques des variétés feuilletées". Actualités Sci. Ind., Publ. Inst. Math. Univ. Strasbourg. 11 (1183). Paris: Hermann & Cie.: 5–89, 155–156 1952.
- with André Haefliger: "Variétés (non séparées) à une dimension et structures feuilletées du plan". Enseignement Math. 2 (3): 107–125. 1957.
See also
References
- ^ MacTutor History of Mathematics archive. University of St Andrews. Retrieved 2020-02-10 – via st-andrews.ac.uk.
- ^ "Georges Reeb - The Mathematics Genealogy Project". genealogy.math.ndsu.nodak.edu. Retrieved 2022-04-02.
- ^ a b c Diener, Francine (October 1993). "George Reeb (1920-1993)". Gazette des mathématiciens (in French). 58: 3.
- ^ "Some historical facts". u-strasbg.fr. Institute for Advanced Mathematical Research, University of Strasbourg. Archived from the original on 2013-10-02. Retrieved 2020-02-10.
- ^ "Liste anciens présidents | Société Mathématique de France". smf.emath.fr. Retrieved 2022-04-02.
- Notices of the AMS. American Mathematical Society(published online 2008). Retrieved 2020-02-10 – via AMS.org.
- JSTOR 1969983.
- S2CID 29897524.
- ^ Nonstandard Analysis in Practice, p. 4, at Google Books. Edited by Francine Diener, Marc Diener.
- ^ Nelson, Edward (1995). "Ramified recursion and intuitionism" (PDF). Presented to Colloque Trajectorien: à la mémoire de Georges Reeb et Jean-Louis Callot. Strasbourg/Obernai.
- OCLC 300057457.
- .
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