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Manfredo P. do Carmo - Selected Papers (Paperback, Softcover reprint of the original 1st ed. 2012)
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Manfredo P. do Carmo - Selected Papers (Paperback, Softcover reprint of the original 1st ed. 2012)
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This volume of selected academic papers demonstrates the
significance of the contribution to mathematics made by Manfredo P.
do Carmo. Twice a Guggenheim Fellow and the winner of many
prestigious national and international awards, the professor at the
institute of Pure and Applied Mathematics in Rio de Janeiro is well
known as the author of influential textbooks such as Differential
Geometry of Curves and Surfaces. The area of differential geometry
is the main focus of this selection, though it also contains do
Carmo's own commentaries on his life as a scientist as well as
assessment of the impact of his researches and a complete list of
his publications. Aspects covered in the featured papers include
relations between curvature and topology, convexity and rigidity,
minimal surfaces, and conformal immersions, among others. Offering
more than just a retrospective focus, the volume deals with
subjects of current interest to researchers, including a paper
co-authored with Frank Warner on the convexity of hypersurfaces in
space forms. It also presents the basic stability results for
minimal surfaces in the Euclidean space obtained by the author and
his collaborators. Edited by do Carmo's first student, now a
celebrated academic in her own right, this collection pays tribute
to one of the most distinguished mathematicians.
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