书目名称 | Lie Groups and Geometric Aspects of Isometric Actions |
编辑 | Marcos M. Alexandrino,Renato G. Bettiol |
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概述 | Includes an elementary introduction to Lie groups and Lie algebras.Uses a geometric approach that renders the text simultaneously complete and considerably short.Discusses recent topics on isometric a |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2015 |
关键词 | Cheeger deformation; Frobenius theorem; Lie algebras; Lie groups; Riemannian geometry; Weyl group; cohomog |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-16613-1 |
isbn_softcover | 978-3-319-38627-0 |
isbn_ebook | 978-3-319-16613-1 |
copyright | Springer International Publishing Switzerland 2015 |