A course in metric geometry / Dmitri Burago, Yuri Burago, Sergei Ivanov

Auteur principal : Burago, Dmitri Yurevich, 1964-, AuteurCo-auteur : Burago, Yuri Dmitrievich, 1936-, Auteur • Ivanov, Sergei, 1972-, AuteurType de document : MonographieCollection : Graduate studies in mathematics, 27Langue : anglais.Pays: Etats Unis.Éditeur : Providence : American Mathematical Society, 2001Description : 415 p. ; 26 cmISBN: 9780821821299.ISSN: 1065-7339.Bibliographie : Bibliogr. Index.Sujet MSC : 51K05, Distance geometry, General theory
51-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry
53C23, Global differential geometry, Global geometric and topological methods; differential geometric analysis on metric spaces
En-ligne : Zentralblatt | MathSciNet
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 Monographie Monographie CMI
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51 BUR (Browse shelf(Opens below)) Available 04282-01

This textbook is a graduate course on metric geometry. It does not only provide the concept of metric spaces but it delves deeper into the realm of metrics. The authors claim to open a vast panorama of `geometrical mathematics from a metric viewpoint' and in fact the notion works out. To mention but a few, they cover areas like `Spaces of Bounded Curvature', `Smooth Length Structures', the `Curvature of Riemannian Metrics' as well as `Large-scale Geometry'. Scarce as the figures may be the book is still a graphic and colourful guide into quite some parts of geometry based on a length structure viewpoint. There are also helpful exercises for the reader in plentiful supply. An interesting aspect about the book is that many notions essentially belong to metric geometry though their definition is based on differential geometric concepts. This revelation also gives way to a more graphic access to many fields of geometry. (Zentralblatt)

Bibliogr. Index

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