Manfredo P. do Carmo – Selected Papers

Authors: do Carmo, Manfredo

Editors: Tenenblat, Keti (Ed.)

  • M. do Carmo is one of the outstanding differential geometers of his time
  • M.do Carmo in one of the pioneers of modern mathematics in Brazil
  • M. do Carmo is well-known to many students who have used his excellent and popular textbooks
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About this book

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.

About the authors

Manfredo P. do Carmo is Professor Emeritus at IMPA, Rio de Janeiro. He graduated  as a Civil  Engineer in Recife, Brazil and  he completed his PhD, in 1963, under the  supervision of S.S. Chern, at the University of California, Berkeley.  He has held visiting positions  in several universities in Brazil and abroad. He is a member of the Brazilian Academy of Sciences and of TWAS and he received several prizes. Amog them the Almirante Álvaro Alberto prize from the Brazilian Research Council (CNPq), the mathematics Prize of TWAS and the Brazilian National Order of Scientific Merit. He has served as  President of the Brazilian Mathematical Society, as a member of the  Selecting Committee of the Brazilian Academy of Sciences, and as Chairman of the Mathematics Committee of CAPES, at the Ministry of Education . He has published several research articles  and books  on Differential Geometry. One of his books is  the  well known textbook on Differential Geometry of Curves and Sufaces, that was translated into spanish, german and chinese.

Reviews

“The area of differential geometry is the main focus of this collection, though it also contains do Carmo’s own commentaries on his life as a scientist as well as assessment of the impact of his research and a complete list of his publications. … His work, as presented in this collection of 32 papers, speaks for itself, as regards both its breadth and its depth, and this volume is an appropriate tribute to him. It is of the highest quality.” (Luiz A. M. Sousa, Jr, Mathematical Reviews, October, 2015)

“The volume, with dedication from Professor do Carmo to his students, begins with an overview of do Carmo’s scientific career. … to guide the readers, a complete list of publications until 2010 is included at the end of this volume. This list extends to more than 80 research articles and several books that set milestones in differential geometry. The increase of research on differential geometry in Brazil is thus rigorously documented and the result presented as fundamental reading for this field.” (Corina Mohorianu, Zentralblatt MATH, Vol. 1240, 2012)

Table of contents (34 chapters)

  • A Summary of the Scientific Activities

    Carmo, Manfredo P. do

    Pages 1-5

  • Summary of the Papers in this Volume

    Carmo, Manfredo P. do

    Pages 7-27

  • The Cohomology Ring of Certain Kählerian Manifolds

    Carmo, Manfredo P. do

    Pages 29-42

  • Isometric immersions with semi-definite second quadratic forms

    Carmo, Manfredo P. do (et al.)

    Pages 43-45

  • Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

    Chern, S. S. (et al.)

    Pages 47-63

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-642-25588-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-642-25587-8
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Manfredo P. do Carmo – Selected Papers
Authors
Editors
  • Keti Tenenblat
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-25588-5
DOI
10.1007/978-3-642-25588-5
Hardcover ISBN
978-3-642-25587-8
Edition Number
1
Number of Pages
XIII, 497
Topics