Manfredo do Carmo
| Manfredo do Carmo | |
|---|---|
| Born | 1928 (age 87–88) |
| Residence | Brazil |
| Nationality | Brazilian |
| Fields | Mathematics |
| Institutions | Instituto Nacional de Matemática Pura e Aplicada |
| Alma mater | University of California, Berkeley |
| Doctoral advisor | Shiing-Shen Chern |
| Doctoral students |
Celso Costa Marcos Dajczer Keti Tenenblat |
| Notable awards |
Brazil's National Order of Scientific Merit (1995) AMS Fellow (2012) |
Manfredo Perdigão do Carmo (1928 in Maceió, Alagoas, Brazil) is a Brazilian mathematician, doyen of Brazilian differential geometry, and former president of the Brazilian Mathematical Society.[1] He is an emeritus researcher at the IMPA.
He is known for his research on Riemannian manifolds, topology of manifolds, rigidity and convexity of isometric immersions, minimal surfaces, stability of hypersurfaces, isoperimetric problems, minimal submanifolds of a sphere, and manifolds of constant mean curvature and vanishing scalar curvature.[1]
He earned his Ph.D. from the University of California, Berkeley in 1963 under the supervision of Shiing-Shen Chern.[2] He was a Guggenheim Fellow in 1965 and 1968.[1] He is a member of the Brazilian Academy of Sciences and the Academy of Sciences of the Developing World (TWAS).[1] He received the Brazilian National Prize for Science and Technology of the National Council for Scientific and Technological Development (CNPq), the National Order of Scientific Merit (1995) and an honorary doctorate from the University of Alagoas (1991). He is a Fellow of the American Mathematical Society.[3]
In 1978 he was an invited speaker at the International Congress of Mathematicians held in Helsinki (the theme was "Minimal Surfaces: Stability and Finiteness").[1][4]
Do Carmo is also known for his textbooks. They were translated into many languages and used in courses from universities such as Harvard and Columbia.[5]
His students include Celso Costa, Marcos Dajczer and Keti Tenenblat.[2]
Books
- Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976
- Riemannian Geometry, Birkhäuser, 1992
- Differential Forms and Applications, Springer Verlag, Universitext, 1994
- Manfredo P. do Carmo – Selected Papers (ed. Keti Tenenblat), Springer, 2012, first volume of the collection “Selected Works of Outstanding Brazilian Mathematicians”
- Eduardo Wagner, Augusto Cezar de Oliveira Morgado, Manfredo Perdigão do Carmo . Trigonometria – Números Complexos ISBN 8583370168
References
- 1 2 3 4 5 Biography from the Guggenheim Foundation
- 1 2 Manfredo do Carmo at the Mathematics Genealogy Project
- ↑ List of Fellows of the American Mathematical Society, retrieved 2015-01-13.
- ↑ do Carmo, Manfredo P. (1980), "Minimal surfaces: stability and finiteness", Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Acad. Sci. Fennica, Helsinki, pp. 401–405, MR 562633.
- ↑ Shozo Motoyama, ed. (2004). Prelúdio para uma história: ciência e tecnologia no Brasil (in Portuguese). EdUSP. p. 358. ISBN 978-85-314-0797-0.