Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a remarkable and important book. For many years, it was the standard text both for Riemannian geometry and for the analysis and geometry of symmetric spaces. Several generations of mathematicians relied on it fo
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Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a remarkable and important book. For many years, it was the standard text both for Riemannian geometry and for the analysis and geometry of symmetric spaces. Several generations of mathematicians relied on it fo
The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particu
<span>A ninth printing of Helgason's 1978 textbook and reference published by Academic Press, itself a revision of and sequel to his 1962 Differential Geometry and Symmetric Spaces , based in turn on lectures he gave a the University of Chicago in 1958 and later at Columbia and MIT. He begins by exp
Recommended [here](https://math.stackexchange.com/questions/461029/getting-started-with-lie-groups) as a good introduction to Lie theory: > I would suggest you start with chapter 4 of *An Introduction to Manifolds* by Tu, Then study *Lie Groups, Lie Algebras, and Representations: An Elementary Intro