Lie Groups and Geometric Aspects of Isometric Actions
This book is intended for advanced undergraduates, graduate students, and young researchers in geometry. It was written with two main goals in mind. First, we give a gentle introduction to the classical theory of Lie groups, using a concise geometric approach. Second, we provide an overview of to...
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Springer
2015
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oai:scholar.dlu.edu.vn:DLU123456789-561102023-11-11T05:32:28Z Lie Groups and Geometric Aspects of Isometric Actions Alexandrino, Marcos M. Bettiol, Renato G. Geometric Isometric This book is intended for advanced undergraduates, graduate students, and young researchers in geometry. It was written with two main goals in mind. First, we give a gentle introduction to the classical theory of Lie groups, using a concise geometric approach. Second, we provide an overview of topics related to isometric actions, exploring their relations with the research areas of the authors and giving the main ideas of proofs. We discuss recent applications to active research areas, such as isoparametric submanifolds, polar actions and polar foliations, cohomogeneity one actions, and positive curvature via symmetries. In this way, the text is naturally divided in two interrelated parts. 2015-06-10T08:30:23Z 2015-06-10T08:30:23Z 2015 Book 978-3-319-16612-4 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/56110 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Geometric Isometric |
| spellingShingle |
Geometric Isometric Alexandrino, Marcos M. Bettiol, Renato G. Lie Groups and Geometric Aspects of Isometric Actions |
| description |
This book is intended for advanced undergraduates, graduate students, and young
researchers in geometry. It was written with two main goals in mind. First, we give a
gentle introduction to the classical theory of Lie groups, using a concise geometric
approach. Second, we provide an overview of topics related to isometric actions,
exploring their relations with the research areas of the authors and giving the main
ideas of proofs. We discuss recent applications to active research areas, such as
isoparametric submanifolds, polar actions and polar foliations, cohomogeneity one
actions, and positive curvature via symmetries. In this way, the text is naturally
divided in two interrelated parts. |
| format |
Book |
| author |
Alexandrino, Marcos M. Bettiol, Renato G. |
| author_facet |
Alexandrino, Marcos M. Bettiol, Renato G. |
| author_sort |
Alexandrino, Marcos M. |
| title |
Lie Groups and Geometric
Aspects of Isometric Actions |
| title_short |
Lie Groups and Geometric
Aspects of Isometric Actions |
| title_full |
Lie Groups and Geometric
Aspects of Isometric Actions |
| title_fullStr |
Lie Groups and Geometric
Aspects of Isometric Actions |
| title_full_unstemmed |
Lie Groups and Geometric
Aspects of Isometric Actions |
| title_sort |
lie groups and geometric
aspects of isometric actions |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/56110 |
| _version_ |
1782543612856238080 |