Manfredo do Carmo

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Manfredo do Carmo, 1979

Manfredo Perdigão do Carmo (born August 15, 1928 in Maceió , Alagoas , Brazil , † April 30, 2018 in Rio de Janeiro , Brazil) was a Brazilian mathematician who studied differential geometry .

Life

Manfredo do Carmo studied engineering at the University of Recife and received his PhD in mathematics ( The Cohomology Ring of certain Kaehlerian Manifolds ) from SS Chern at the University of California, Berkeley in 1963 . He taught at the University of Recife and the University of Brasília . Since 1966 he was a professor at the Institute for Pure and Applied Mathematics ( Instituto de Matemática Pura e Aplicada ; IMPA) in Rio de Janeiro . He was visiting scholar at the University of Ceará at Fortaleza in Brazil and at Berkeley.

Act

He researched Riemannian manifolds , the topology of manifolds, rigidity and convexity of isometric immersions , stability and Morse index of minimal surfaces , stability of hypersurfaces , isoperimetric problems , minimal submanifolds of a sphere, manifolds of constant mean curvature and vanishing scalar curvature .

Do Carmo was known for various textbooks on differential geometry.

In 1965 and 1968 he was a Guggenheim Fellow . He was a member of the Brazilian Academy of Sciences and the Academy of Sciences of the Developing World (TWAS), whose mathematics prize he received in 2002. He received the Brazilian National Science and Technology Prize 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 was a fellow of the American Mathematical Society .

In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki ( Minimal surfaces: stability and finiteness ).

Fonts

  • Differential Geometry of Curves and Surfaces, Prentice-Hall 1976
    • German edition: Differential geometry of curves and surfaces, Vieweg, 3rd edition 1993
  • Riemannian Geometry, Birkhäuser 1992
  • Differential forms and applications, Springer Verlag, Universitext, 1994
  • Selected Papers (Keti Tenenblat, ed.), Springer Verlag 2012

Web links

Individual evidence

  1. ^ Obituary , accessed May 1, 2018
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Carmo, Manfredo do
ALTERNATIVE NAMES Carmo, Manfredo Perdigão do
BRIEF DESCRIPTION Brazilian mathematician
DATE OF BIRTH August 15, 1928
PLACE OF BIRTH Maceió , Alagoas, Brazil
DATE OF DEATH April 30, 2018
Place of death Rio de Janeiro , Brazil