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“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)This selection of papers by one of the outstanding geometers of the age focuses on the Brazilian professor’s specialism of differential geometry and covers a host of topics from convexity and rigidity to relations between curvature and topology.
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- VerlagSpringer
- Erscheinungsdatum2016
- ISBN 10 3662508176
- ISBN 13 9783662508176
- EinbandTapa blanda
- Anzahl der Seiten512
- HerausgeberTenenblat Keti
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Manfredo P. do Carmo ¿ Selected Papers
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Springer Berlin Heidelberg
(2016)
ISBN 10: 3662508176
ISBN 13: 9783662508176
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Buchbeschreibung Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783662508176
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