An Introduction to Lie Groups and the Geometry of Homogeneous Spaces is popular PDF and ePub book, written by Andreas Arvanitogeōrgos in 2003, it is a fantastic choice for those who relish reading online the Homogeneous spaces genre. Let's immerse ourselves in this engaging Homogeneous spaces book by exploring the summary and details provided below. Remember, An Introduction to Lie Groups and the Geometry of Homogeneous Spaces can be Read Online from any device for your convenience.
An Introduction to Lie Groups and the Geometry of Homogeneous Spaces Book PDF Summary
It is remarkable that so much about Lie groups could be packed into this small book. But after reading it, students will be well-prepared to continue with more advanced, graduate-level topics in differential geometry or the theory of Lie groups. The theory of Lie groups involves many areas of mathematics. In this book, Arvanitoyeorgos outlines enough of the prerequisites to get the reader started. He then chooses a path through this rich and diverse theory that aims for an understanding of the geometry of Lie groups and homogeneous spaces. In this way, he avoids the extra detail needed for a thorough discussion of other topics. Lie groups and homogeneous spaces are especially useful to study in geometry, as they provide excellent examples where quantities (such as curvature) are easier to compute. A good understanding of them provides lasting intuition, especially in differential geometry. The book is suitable for advanced undergraduates, graduate students, and research mathematicians interested in differential geometry and neighboring fields, such as topology, harmonic analysis, and mathematical physics.
Detail Book of An Introduction to Lie Groups and the Geometry of Homogeneous Spaces PDF
- Author : Andreas Arvanitogeōrgos
- Release : 21 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821827789
- Genre : Homogeneous spaces
- Total Page : 162 pages
- Language : English
- PDF File Size : 19,6 Mb
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