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Lie Groups and Geometric Aspects of Isometric Actions

Lie Groups and Geometric Aspects of Isometric Actions
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Field name Details
Dewey Class 516.36
Title Lie Groups and Geometric Aspects of Isometric Actions (M) / Marcos M. Alexandrino, Renato G. Bettiol
Author Alexandrino, Marcos M.
Added Personal Name Bettiol, Renato G.
Publication Cham : Springer International Publishing , 2015
Physical Details x, 213 pages : Ill. ; 25 cm.
ISBN 9783319166124
Summary Note 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 material. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries. This book stems from the experience gathered by the authors in several lectures along the years, and was designed to be as self-contained as possible. It is intended for advanced undergraduates, graduate students, and young researchers in geometry, and can be used for a one-semester course or independent study.:
Contents note 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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