ENGLISH

Lie Groups and Geometric Aspects of Isometric Actions

By Marcos M. Alexandrino , Renato G. Bettiol

Book information

Publisher
Springer
Year
2015
ISBN
3319166123, 9783319166124
Language
english
Format
PDF
Filesize
2 MB (1582502 bytes)
Edition
2015
Pages
213\215
Scanned
yes
Time added
2015-05-30 23:09:31
Differential Geometry Topology Mathematics Science

Description

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.

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