Manfredo P. Do Carmo - Selected Papers

ISBN-13: 9783642255878 / Angielski / Twarda / 2012 / 497 str.

Manfredo P.Do Carmo;Keti Tenenblat

Opis

This book is a collection of selected papers by Manfredo do Carmo, the well known author of textbooks such as Differential Geometry of Curves and Surfaces which has been translated into several languages. The subject of the papers is mostly Differential Geometry, including relations between curvature and topology, convexity and rigidity, minimal surfaces, conformal immersions, and further related topics. The papers deal with topics of interest to current researchers. For instance, the paper by do Carmo and Warner summarizes the "state of the art" in the area of convexity of hypersurfaces in space forms. Furthermore, some of the papers on minimal surfaces present the basic stability results for minimal surfaces in the euclidean space obtained by the author and his collaborators.

Recenzje

"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)

Spis treści

Preface.- A Summary of the Scientific Activities of Manfredo P. do Carmo.- Summary of thePapers in this Volume by Manfredo P. do Carmo.- Contributions.- Complete List of Publications of Manfredo P. do Carmo.- List of D.Sc. Students of Manfredo P. do Carmo.

O autorze

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.