Lie Groups and Geometric Aspects of Isometric Actions

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Alexandrino, Marcos M. (Author), Bettiol, Renato G. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Subjects:
Geometry, Differential.
Topological groups.
Lie groups.
Algebraic topology.
Differential Geometry.
Topological Groups and Lie Groups.
Algebraic Topology.
Online Access:Texto Completo
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.

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