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Manfredo Perdigão do Carmo (1928 in Maceió, Alagoas, Brazil) is a Brazilian mathematician working in differential geometry.〔(Biography from the Guggenheim Foundation )〕 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.〔 He earned his Ph.D. from the University of California, Berkeley in 1963 under the supervision of Shiing-Shen Chern. He was a Guggenheim Fellow in 1965 and 1968.〔 He is a member of the Brazilian Academy of Sciences and the Academy of Sciences of the Developing World (TWAS).〔 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.〔(List of Fellows of the American Mathematical Society ), retrieved 2015-01-13.〕 In 1978 he was an invited speaker at the International Congress of Mathematicians held in Helsinki (the theme was "''Minimal Surfaces: Stability and Finiteness''").〔〔.〕 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. His students include Celso Costa, Marcos Dajczer 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 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Manfredo do Carmo」の詳細全文を読む スポンサード リンク
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