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Lie Groups and Geometric Aspects of Isometric Actions
Alexandrino, Marcos M.; Bettiol, Renato G.
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Description for Lie Groups and Geometric Aspects of Isometric Actions
Paperback. Num Pages: 223 pages, 14 black & white illustrations, biography. BIC Classification: PBG; PBMP; PBPD. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 12. Weight in Grams: 349.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
223
Condition
New
Number of Pages
213
Place of Publication
Cham, Switzerland
ISBN
9783319386270
SKU
V9783319386270
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Alexandrino, Marcos M.; Bettiol, Renato G.
Marcos M. Alexandrino is an Associate Professor at the Institute of Mathematics and Statistics of the University of São Paulo, Brazil. He did his PhD at Pontifical Catholic University of Rio de Janeiro, Brazil, with studies at the University of Cologne, in Germany. His research is on the field of Differential Geometry, more specifically on singular Riemannian foliations and isometric actions. ... Read more
Reviews for Lie Groups and Geometric Aspects of Isometric Actions
“This book sets out from the geometric point of view the foundations of the theory of Lie groups and Lie algebras, as well as some of the topics relating to the theory of Lie groups of isometric transformations. … At the end of the book there is an application in which some elements of the theory of smooth manifolds are ... Read more