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Course in Metric Geometry by Dmitri Burago & Yuri Burago & Sergei Ivanov
This text is an approach to geometry based on the notion of length on a topological space. This approach has experienced a very fast development and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations."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 introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Caratheodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). |
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| Author(s) : | Format : Hardback Book |
| ISBN-10 : 0821821296 | ISBN-13 : 9780821821299 |
| RRP : £26.25 | Best available price : £ / $ |
| Prices as of : BST check live prices | |
Product Details:
Series Title : Graduate Studies in Mathematics
Country Publication : United States
Publication Date : 02/08/2001
Publisher : American Mathematical Society
Page Length : 417mm
Page Size : 254mm