Manfredo do Carmo

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Manfredo do Carmo
do Carmo in 1979
Born(1928-08-15)15 August 1928
Maceió, Alagoas
Died30 April 2018(2018-04-30) (aged 89)
Rio de Janeiro
Resting placeCemitério de São João Batista
NationalityBrazilian
Alma materUniversity of California, Berkeley
AwardsGuggenheim Fellowship (1965, 1968)
Prêmio Almirante Álavaro Alberto (1984)
TWAS Prize (1987)
AMS Fellow (2012)
Scientific career
FieldsMathematics
InstitutionsInstituto Nacional de Matemática Pura e Aplicada
Thesis The Cohomology Ring of Certain Kahlerian Manifolds  (1963)
Doctoral advisorShiing-Shen Chern
Doctoral studentsCelso Costa
Marcos Dajczer
Keti Tenenblat

Manfredo Perdigão do Carmo (15 August 1928, Maceió – 30 April 2018, Rio de Janeiro) was a Brazilian mathematician. He spent most of his career at IMPA and is seen as the doyen of differential geometry in Brazil.[1]

Education and career

Do Carmo studied

University of Recife from 1947 to 1951. After working a few years as engineer, he accepted a teaching position at the newly created Institute of Physics and Mathematics at Recife.[2]

On suggestion of Elon Lima, in 1959 he went to Instituto Nacional de Matemática Pura e Aplicada to improve his background[2][3] and in 1960 he moved to the US to pursue a Ph.D. in mathematics at the University of California, Berkeley under the supervision of Shiing-Shen Chern. He defended his thesis, entitled "The Cohomology Ring of Certain Kahlerian Manifolds", in 1963.[4]

After 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. From 2003 to his death he was emeritus professor at the same institution.[2]

Do Carmo was a

honoris causa from Federal University of Alagoas[10][11] and in 2012 from University of Murcia[12][13] and from Federal University of Amazonas.[14][15]

He served as president of the Brazilian Mathematical Society in the term 1971–1973.[16] He was elected a member of the Brazilian Academy of Sciences in 1970,[17] a member of The World Academy of Sciences (TWAS) in 1997[18] and a fellow of the American Mathematical Society In 2013.[19]

Among his awards, he received the

TWAS Prize in Mathematics in 1992,[18][21] the National Order of Scientific Merit in 1995[22] and the Comenda Graciliano Ramos from the municipality of Maceió
in 2000.

Do Carmo died on 30 April 2018 at the age of 89.[23][24][25]

Research

Do Carmo's main research interests were Riemannian geometry and the differential geometry of surfaces.[3]

In particular, he worked on

minimal submanifolds of a sphere,[34][35] and manifolds of constant mean curvature[36][37][38][39] and vanishing scalar curvature.[40]

Do Carmo published more than 100 papers in peer-reviewed journals;[41] in 2012 a selection of his works was published by Springer.[42] He is also known for his textbooks:[43][44] they were translated into many languages and used in courses from universities such as Harvard and Columbia.[45][2]

He supervised 27 PhD students, including Celso Costa, Marcos Dajczer and Keti Tenenblat.[4]

Books

References

  1. S2CID 228984989
    .
  2. ^
    S2CID 225625329
    .
  3. ^
    ISBN 978-3-642-25588-5
    , retrieved 2022-01-31
  4. ^ a b Manfredo do Carmo at the Mathematics Genealogy Project
  5. ^ Biography from the Guggenheim Foundation
  6. ^ "John Simon Guggenheim Foundation | Manfredo Perdigao do Carmo". Retrieved 2022-01-31.
  7. ^ Lehto, Olii, ed. (1980). Proceedings of the International Congress of Mathematician 1978 (PDF). Helsinki. p. 401.{{cite book}}: CS1 maint: location missing publisher (link)
  8. MR 0562633
    .
  9. ISBN 978-3-642-25588-5
    , retrieved 2022-02-01
  10. ^ "Ufal promove evento internacional na área de Matemática" [Ufal promotes international event in an area of mathematics]. Universidade Federal de Alagoas (in Brazilian Portuguese). Retrieved 2022-02-07.
  11. ^ "Alagoano referência em geometria diferencial será homenageado em evento" [Alagoan reference in differential geometry will be homaged in an event]. Universidade Federal de Alagoas (in Brazilian Portuguese). Retrieved 2022-02-07.
  12. ^ "Professor Manfredo P. Do Carmo will be awarded the honorary degree Doctor Honoris Causa by the Universidad de Murcia | European Mathematical Society". euro-math-soc.eu. Retrieved 2022-02-01.
  13. ^ Laudatio del Padrino (in Spanish), 2012-05-15, retrieved 2022-02-06
  14. ^ "Ata da sessão solene de outorga de titulo Dr. Honoris Causa" [Acts of the solemn session to grant the title of Dr. Honoris Causa] (PDF) (in Portuguese).
  15. ^ "Resolução N° 009/2012" (PDF) (in Portuguese).
  16. ^ "Diretorias Anteriores – SBM – Sociedade Brasileira de Matemática" (in Brazilian Portuguese). Retrieved 2022-01-31.
  17. ^ "Manfredo Perdigão do Carmo – ABC" (in Brazilian Portuguese). Retrieved 2022-01-31.
  18. ^ a b "do Carmo, Manfredo P." TWAS. Retrieved 2022-01-31.
  19. ^ List of Fellows of the American Mathematical Society, retrieved 2015-01-13.
  20. ^ "CNPq - Prêmio Almirante Álvaro Alberto". www.premioalvaroalberto.cnpq.br (in Portuguese). Retrieved 2022-02-01.
  21. ^ "Prizes and Awards". The World Academy of Sciences. 2016.
  22. ^ "Ordem Nacional do Mérito Científico" (in Portuguese). Instituto Brasileiro de Informação em Ciência e Tecnologia [pt]. 11 August 2023.
  23. ^ "Matemático Manfredo do Carmo morre aos 89 anos" [Mathematician Manfredo do Carmo dies at age 89] (in Portuguese). IMPA. Retrieved 1 May 2018.
  24. ^ "Decease of Prof. Do Carmo | European Mathematical Society". euro-math-soc.eu. Retrieved 2022-01-31.
  25. ^ "News from the AMS". American Mathematical Society. Retrieved 2022-01-31.
  26. ISSN 0022-040X
    .
  27. S2CID 189777457
    .
  28. S2CID 186222313
    .
  29. S2CID 186231004
    .
  30. JSTOR 2373899
    .
  31. ISSN 0273-0979
    .
  32. S2CID 189881132
    .
  33. S2CID 186236970
    .
  34. ISBN 978-3-642-48272-4
    , retrieved 2022-02-01
  35. JSTOR 1970752
    .
  36. S2CID 109931575
    .
  37. JSTOR 1999231
    .
  38. ISSN 0002-9939
    .
  39. S2CID 189898400
    .
  40. S2CID 122198627
    .
  41. ^ "zbMATH Open - the first resource for mathematics". zbmath.org. Retrieved 2022-02-01.
  42. ISBN 978-3-642-25587-8
    .
  43. ISSN 0172-5939
    .
  44. OCLC 24667701
    .
  45. ISBN 978-85-314-0797-0
    .
  46. ^ Review by Mark Hunacek of Differential Geometry of Curves and Surfaces by Manfredo P. do Carmo
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