Metric Structures for Riemannian and Non-Riemannian Spaces

• Main Author: Gromov, Mikhail (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2007.
• Series: Modern Birkhäuser Classics
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Measure theory.; Differential geometry.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Differential Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).; Algebraic Topology.; Measure and Integration.; Analysis.

Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory. The new wave began with seminal papers by Svarc and Milnor on...