Lie groups and geometric aspects of isometric actions [electronic resource] / Marcos M. Alexandrino, Renato G. Bettiol.
Alexandrino, Marcos M., author.; Bettiol, Renato Ghini, author.
2015
QA387
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Title Lie groups and geometric aspects of isometric actions [electronic resource] / Marcos M. Alexandrino, Renato G. Bettiol.
Author Alexandrino, Marcos M., author.
ISBN 9783319166131 electronic book
3319166131 electronic book
9783319166124
DOI https://doi.org/10.1007/978-3-319-16613-1
Published Cham : Springer, [2015]
Copyright ©2015
Language English
Description 1 online resource (x, 213 pages) : illustrations
Item Number 10.1007/978-3-319-16613-1 doi
Call Number QA387
Dewey Decimal Classification 512/.482
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed May 28, 2015).
Added Author Bettiol, Renato Ghini, author.
Available in Other Form Print version: 9783319166124
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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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