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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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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Alexandrino, Marcos M. (Auteur), Bettiol, Renato G. (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Springer, 2015.
Édition:1st ed. 2015.
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • 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.