Boletim Cearense de Educação e História da Matemática (in Portuguese). 'O percurso profissional de Manfredo Perdigão do Carmo e a geometria differencial no Brasil'. ^ a b c d Queiroz, Antonio José Melo de (2020).São Paulo Journal of Mathematical Sciences. ^ Gorodski, Claudio Piccione, Paolo ().Trigonometria – Números Complexos ISBN 8583370168 (with Eduardo Wagner and Augusto Cezar de Oliveira Morgado).Differential Forms and Applications, Springer Verlag, Universitext, 1994 ISBN 978-8-1.Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976 ISBN 9780132125895.He supervised 27 PhD students, including Celso Costa, Marcos Dajczer and Keti Tenenblat. He is also known for his textbooks: they were translated into many languages and used in courses from universities such as Harvard and Columbia. ĭo Carmo published more than 100 papers in peer-reviewed journals in 2012 a selection of his works was published by Springer. In particular, he worked on rigidity and convexity of isometric immersions, stability of hypersurfaces and of minimal surfaces, topology of manifolds, isoperimetric problems, minimal submanifolds of a sphere, and manifolds of constant mean curvature and vanishing scalar curvature. Research ĭo Carmo's main research interests were Riemannian geometry and the differential geometry of surfaces. Īmong his awards, he received the Prêmio Almirante Álavaro Alberto from the National Council for Scientific and Technological Development in 1984, the TWAS Prize in Mathematics in 1992, the National Order of Scientific Merit in 1995 and the Comenda Graciliano Ramos from the municipality of Maceió in 2000.ĭo Carmo died on 30 April 2018 at the age of 89. He was elected a member of the Brazilian Academy of Sciences in 1970, a member of The World Academy of Sciences (TWAS) in 1997 and a fellow of the American Mathematical Society In 2013. He served as president of the Brazilian Mathematical Society in the term 1971–1973. In 1991 he obtained a Doctorate honoris causa from Federal University of Alagoas and in 2012 from University of Murcia and from Federal University of Amazonas. In 1978 he was invited speaker at the International Congress of Mathematicians held in Helsinki.

From 2003 to his death he was emeritus professor at the same institution. Īfter working again at University of Recife and at the University of Brasilia, in 1966 he became professor at Instituto Nacional de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro. He defended his thesis, entitled ' The Cohomology Ring of Certain Kahlerian Manifolds', in 1963. in mathematics at the University of California, Berkeley under the supervision of Shiing-Shen Chern. On suggestion of Elon Lima, in 1959 he went to Instituto Nacional de Matemática Pura e Aplicada to improve his background and in 1960 he moved to the US to pursue a Ph.D. After working a few years as engineer, he accepted a teaching position at the newly created Institute of Physics and Mathematics at Recife. Education and career ĭo Carmo studied civil engineering at the University of Recife from 1947 to 1951. He spent most of his career at IMPA and is seen as the doyen of differential geometry in Brazil. Manfredo Perdigão do Carmo (15 August 1928, Maceió – 30 April 2018, Rio de Janeiro) was a Brazilian mathematician. The Cohomology Ring of Certain Kahlerian Manifolds (1963)

Instituto Nacional de Matemática Pura e Aplicada 91, 693–728.Brazil's National Order of Scientific Merit (1995) (1969) Self-linking and the Gauss integral in higher dimensions. (1968) The self-linking number of a closed space curve. (1968) Some integral formulas for space curves and their generalization.

The University Press of Virginia, 2nd edition. (1969) Topology from Differential Viewpoint. Königlichen Gesellschaft des Wissenschaften, Göttingen. In Zur Mathematischen Theorie de Electrodynamische Wirkungen. (1833) Integral formula for linking number. (1978) Decomposition of the linking number of a closed ribbon: a problem from molecular biology. (1971) The writhing number of a space curve. (1976) Differential Geometry of Curves and Surfaces. (1997) Upper bounds for the writhing of knots and the helicity of vector fields. (1961) Sur les enlacements tridimensionnels des courbes fermées. (1961) Sur les classes d’isotopie des neouds tridimensionnels et leurs invariants. (1959) L’intégrale de Gauss et l’analyse des noeuds tridimensionnels. (1970) Critical points and curvature for embedded polyedral surfaces.

De carmo differential geometry