AMS eBooks: Graduate Studies in Mathematics

Dmitri Burago, Pennsylvania State University, University Park, PA, Yuri Burago, Steklov Institute of Mathematics, St. Petersburg, Russia and Sergei Ivanov, Steklov Institute of Mathematics, St. Petersburg, Russia Publication: Graduate Studies in Mathematics Publication Year: 2001; Volume 33 ISBNs: 978-0-8218-2129-9 (print); 978-1-4704-1794-9 (online) DOI: https://doi.org/10.1090/gsm/033 MathSciNet review: MR1835418 MSC: Primary 53C23 View full volume as PDF Read more about this volume “Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introdu

Dmitri Burago, Pennsylvania State University, University Park, PA, Yuri Burago, Steklov Institute of Mathematics, St. Petersburg, Russia and Sergei Ivanov, Steklov Institute of Mathematics, St. Petersburg, Russia Publication: Graduate Studies in Mathematics Publication Year: 2001; Volume 33 ISBNs: 978-0-8218-2129-9 (print); 978-1-4704-1794-9 (online) DOI: https://doi.org/10.1090/gsm/033 MathSciNet review: MR1835418 MSC: Primary 53C23 View full volume as PDF Read more about this volume “Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approa