Manfredo do Carmo
Manfredo Perdigão do Carmo (1928 in Maceió, Alagoas, Brazil) is a Brazilian mathematician working in differential geometry.[1]
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 CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico), the Ordem Nacional do Mérito Cientifico (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 and Keti Tenenblat.
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
References
- ↑ 1.0 1.1 1.2 1.3 1.4 Biography from the Guggenheim Foundation
- ↑ 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.
- ↑ Prelúdio para uma história: ciência e tecnologia no Brasil (in Portuguese). EdUSP. 2004. p. 358. ISBN 978-85-314-0797-0.