Manfredo P. do Carmo – Selected Papers

  • Manfredo P. do Carmo
  • Keti Tenenblat

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Manfredo P. do Carmo
    Pages 1-5
  3. Manfredo P. do Carmo
    Pages 7-27
  4. Manfredo P. do Carmo
    Pages 29-42
  5. Manfredo P. do Carmo, Elon Lima
    Pages 43-45
  6. M. P. do Carmo, F. W. Warner
    Pages 65-76
  7. Manfredo P. do Carmo
    Pages 77-91
  8. Manfredo P. do Carmo, Nolan R. Wallach
    Pages 93-112
  9. M. do Carmo, B. Lawson
    Pages 113-114
  10. J. L. Barbosa, M. do Carmo
    Pages 115-128
  11. A. G. Colares, M. P. do Carmo
    Pages 129-138
  12. Manfredo P. do Carmo
    Pages 139-143
  13. João Lucas Barbosa, Manfredo do Carmo
    Pages 145-161
  14. M. do Carmo, C. K. Peng
    Pages 163-166
  15. João Lucas Barbosa, Manfredo do Carmo
    Pages 167-182
  16. Manfredo P. do Carmo
    Pages 183-193
  17. M. do Carmo, M. Dajczer
    Pages 195-219
  18. João Lucas Barbosa, Manfredo do Carmo
    Pages 221-235
  19. Manfredo do Carmo, Marcos Dajczer, Francesco Mercuri
    Pages 237-251

About this book

Introduction

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.

Keywords

conformal immersion constant mean curvature curvature minimal hypersurfaces rigidity

Authors and affiliations

  • Manfredo P. do Carmo
    • 1
  1. 1.Pura e Aplicada (IMPA)Instituto de MatemáticaRio de JaneiroBrazil

Editors and affiliations

  • Keti Tenenblat
    • 1
  1. 1.Department of MathematicsUniversity of BrasíliaBrasiliaBrazil

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-25588-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-25587-8
  • Online ISBN 978-3-642-25588-5
  • About this book