Metric Spaces, Convexity and Nonpositive Curvature
Book information
Description
This book is about metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a convexity condition. It also contains a systematic introduction to metric geometry, as well as a detailed presentation of some facets of convexity theory that are useful in the study of nonpositive curvature.The concepts and the techniques are illustrated by many examples, in particular from hyperbolic geometry, Hilbert geometry and Teichmüller theory.For the second edition, some corrections and a few additions have been made, and the bibliography has been updated.
Similar books
Symbolic Dynamics and Hyperbolic Groups (Lecture Notes in Mathematics, 1539)
1993 · PDF
Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert
2022 · PDF
In the Tradition of Thurston II: Geometry and Groups
2022 · PDF
Topology and Geometry: A Collection of Essays Dedicated to Vladimir G. Turaev
2021 · PDF
In the Tradition of Thurston: Geometry and Topology
2020 · PDF
In the Tradition of Thurston: Geometry and Topology
2021 · EPUB
From Riemann to Differential Geometry and Relativity
2017 · PDF
Handbook of Teichmuller theory, Vol.3
2012 · PDF