Manfredo Perdigão do Carmo, Brazilian geometer (Maceió 15 August 1928 -
Published more than 60 scientific papers in top-quality reviews (2 of them in Annals of Mathematics) Published Differential geometry of curves and surfaces in English (1976), translated to Spanish, German and Chinese languages and used worldwide. ACHIEVEMENTSIntroduced the concept of weak stability with Barbosa and Eschenburg (1988) Obtained a condition in order to Mn compact variety from Euclidean space Rn+p be included in Rn+1 published in Archiv der Mathematik with wide recognition With M.F. Elbert proposed the notion of finite total curvature for a complete hypersurface of the euclidean space with vanishing scalar curvature Proposed that given a complete surface with non-null constant mean curvature its Gaussian image contains a maximal circle of sphere (1981) With N. Wallach described the moduli space as a convex set with stratified boundary (1969-71) With F.
Warner proved that a compact surface in S With J.L.
Barbosa proved that an orientable minimal surface in R With Peng
proved that a complete, orientable and stable minimal surface in R With M. Dajczer & F. Mercuri classified conformally flat hypersurfaces in space forms of dimension greater than or equal to five known as conformal surgery (1985) With H. Alencar & A.G. Colares proved that a constant scalar curvature compact hypersurface of a space form is a geodesic sphere (1993) With H.
Alencar & W. Santos proved a gap theorem for compact hypersurfaces of
scalar curvature one in spheres (2002) HONORSInvited Lecturer to International Congress of Mathematicians, Finland, 1978
TWAS Prize in Mathematics (1992)
EPONYMYAlencar-do Carmo theorem
do Carmo surface
Barbosa-do Carmo theorem
Chern-do Carmo-Kobayashi conjecture (1970)
Chern-do Carmo-Kobayashi rigidity theorem (1970)
Do Carmo-Dajczer surfaces
do Carmo-Wallach classification
do Carmo-Wallach theorem
do Carmo-Zhou theorem (1999)
do Carmo-Peng theorem (1979)
do Carmo-Warner theorem
Do Carmo-Fernandez theorem |

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