Metric Book

by Vyacheslav Chistyakov (Author)
Presents an easy and unified way to generate different metrics
Contains new existence results in nonlinear functional analysis
Includes important applications to set-valued analysis​

This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincar metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics.

* Take a look at the dedicated microsite for free sample content - architecturalpress.

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.