Differential Geometry, Lie Groups, and Symmetric Spaces. Front Cover · Sigurdur Helgason. Academic Press, Feb 9, – Mathematics – pages. Purchase Differential Geometry, Lie Groups, and Symmetric Spaces, Volume 80 – 1st Edition. Print Book & E-Book. Write a review. Authors: Sigurdur Helgason. Differential Geometry, Lie Groups and Symmetric Spaces over General . of course, a reference to Helgason’s by now classical monograph.

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Mathematics > Differential Geometry

See our librarian page for additional eBook ordering options. Graduate Studies in Mathematics Volume: Heometry great book … a necessary item in any mathematical library. Chern, University of California A brilliant book: 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.


Differential Geometry, Lie Groups, and Symmetric Spaces

Next is a careful treatment of the foundations of the symmetrjc 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 differentizl, the author has made corrections and added helpful notes and useful references. Graduate students and research mathematicians interested in differential geometry, Lie groups, and symmetric spaces. This book has been famous for many years and used by several generations of readers.

It is important that the book has again become available for a general audience. One of the most important and excellent textbooks and a reference work about contemporary differential geometry …. Important improvements in the new edition of S. Spacds book will turn it into a desk book for many following generations.

Helgason’s monograph is a beautifully done piece of work and should be extremely useful for several years to come, both in teaching and in research. Renders a great service in permitting the non-specialist, with a minimum knowledge of differential geometry and Lie groups, an initiation to the theory of symmetrical spaces.


The mathematical community has long been in need of a book on symmetric spaces. Helgason has admirably satisfied this need with his book, Differential Geometry and Symmetric Spaces. It will surely become a classic.

Join our email list. Ordering on the AMS Bookstore is limited to individuals for personal use only. Chern, University of California Written with unmatched lucidity, systematically, carefully, beautifully.


Bochner, Princeton University Helgason’s monograph is a beautifully done piece of work and should be extremely useful for several years to come, both in teaching and in research.

Spencer, Princeton University A brilliant book: Author s Product display: Graduate Studies in Mathematics. Publication Month and Year: Print Price synmetric Label: Print Price 2 Label: Print Price 3 Label: