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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| Những tác giả chính: | , |
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
| Được phát hành: |
Springer
2015
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| Những chủ đề: | |
| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/56110 |
| Các nhãn: |
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| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
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| Tóm tắt: | 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. |
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