Overview
Surveys numerous current research topics in geometry
Can be used as a basis for courses and masterclasses
Provides a useful first reference for students and researchers
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner.
The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (Bishop—Gromov type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry.
Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers.
The whole book is intended to be an introduction to current research trends in geometry.
Editors and Affiliations
About the editor
Athanase Papadopoulos (born 1957) is Directeur de Recherche at the French Centre National de la Recherche Scientifique. His main fields of interest are geometry and topology, the history and philosophy of mathematics, and mathematics and music. He has held visiting positions at the Institute for Advanced Study, Princeton (1984–85 and 1993–94), USC (1998–1999), CUNY (Ada Peluso Professor, 2014), Brown University (Distinguished visiting professor, 2017), Tsinghua University, Beijing (2018), Lamé Chair of the State University of Saint Petersburg (2019), and has had several month visits to the Max-Plank Institute for mathematics (Bonn), the Erwin Schrödinger Institute (Vienna), the Graduate Center of CUNY (New York), the Tata Institute (Bombay), Galatasaray University (Istanbul), the University of Florence (Italy), Fudan University (Shanghai), Gakushuin University (Tokyo) and Presidency University (Calcutta). He is the author of more than 200 published articles and 35 monographs and edited books.
Bibliographic Information
Book Title: Surveys in Geometry I
Editors: Athanase Papadopoulos
DOI: https://doi.org/10.1007/978-3-030-86695-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Softcover ISBN: 978-3-030-86694-5Published: 19 February 2022
eBook ISBN: 978-3-030-86695-2Published: 18 February 2022
Edition Number: 1
Number of Pages: XI, 467
Number of Illustrations: 64 b/w illustrations, 46 illustrations in colour
Topics: Geometry, Differential Geometry, Hyperbolic Geometry, Topology, Convex and Discrete Geometry