Libraries and resellers, please contact cust-serv ams. See our librarian page for additional eBook ordering options. A great book … a necessary item in any mathematical library. Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics.
|Published (Last):||14 January 2013|
|PDF File Size:||14.99 Mb|
|ePub File Size:||15.90 Mb|
|Price:||Free* [*Free Regsitration Required]|
Sigurdur Helgason. American Mathematical Soc. A great book Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting.
For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been--and continues to be--the standard source for this material. Helgason begins with a concise, self-contained introduction to differential geometry.
Next is a careful treatment of the foundations of the theory of Lie groups, presented in a manner that since has served as a model to a number of subsequent authors.
This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book.
The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All of the problems have either solutions or substantial hints, found at the back of the book. For this edition, the author has made corrections and added helpful notes and useful references.
Symplectic Geometry and Analytical Mechanics P.
Differential Geometry, Lie Groups, and Symmetric Spaces
Elementary Differential Geometry. Lie Groups and Lie Algebras. Structure of Semisimple Lie Algebras. Symmetric Spaces. Decomposition of Symmetric Spaces. Symmetric Spaces of the Noncompact Type. Symmetric Spaces of the Compact Type.
Differential Geometry, Lie Groups, and Symmetric Spaces, Volume 80