The Geometry of Infinite-Dimensional Groups

• Main Authors: Khesin, Boris (Author), Wendt, Robert (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics ; 51
• Subjects: Mathematics.; Algebraic geometry.; Group theory.; Topological groups.; Lie groups.; Global analysis (Mathematics).; Manifolds (Mathematics).; Geometry.; Physics.; Topological Groups, Lie Groups.; Group Theory and Generalizations.; Mathematical Methods in Physics.; Global Analysis and Analysis on Manifolds.; Algebraic Geometry.

This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinite-dimensional groups often exhibit very peculiar features, this book describes...