Lie Groups and Geometric Aspects of Isometric Actions

• Main Authors: Alexandrino, Marcos M. (Author), Bettiol, Renato G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Subjects: Mathematics.; Topological groups.; Lie groups.; Differential geometry.; Algebraic topology.; Differential Geometry.; Topological Groups, Lie Groups.; Algebraic Topology.

This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic m...

Table of Contents:

• 1: Basic results on Lie groups
• 2: Lie groups with bi-invariant metrics
• 3: Proper and isometric acions
• 4: Adjoint and conjugation actions
• 5: Polar foliations
• 6: Low cohomogeneity actions and positive curvature
• Appendix: Rudiments of smooth manifolds.