Differential Geometry, Lie Groups, and Symmetric Spaces
eBook - PDF

Differential Geometry, Lie Groups, and Symmetric Spaces

  1. 628 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Differential Geometry, Lie Groups, and Symmetric Spaces

About this book

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, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.

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Yes, you can access Differential Geometry, Lie Groups, and Symmetric Spaces by Sigurdur Helgason in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
1979
Print ISBN
9780123384607
eBook ISBN
9780080873961
Topic
Mathematics
Subtopic
Geometry
Index
Mathematics

Table of contents

  1. Front Cover
  2. Differential Geometry, Lie Groups, and Symmetric Spaces
  3. Copyright Page
  4. Contents
  5. Preface
  6. Tentative Contents of the Sequel
  7. Chapter I. Elementary Differential Geometry
  8. Chapter II. Lie Groups and Lie Algebras
  9. Chapter III. Structure of Semisimple Lie Algebras
  10. Chapter IV. Symmetric Spaces
  11. Chapter V. Decomposition of Symmetric Spaces
  12. Chapter VI. Symmetric Spaces of the Noncompact Type
  13. Chapter VII. Symmetric Spaces of the Compact Type
  14. Chapter Vlll. Hermitian Symmetric Spaces
  15. Chapter IX. Structure of Semisimple Lie Groups
  16. Chapter X. The Classification of Simple Lie Algebras and of Symmetric Spaces
  17. Bibliography
  18. Solutions to Exercises
  19. List of Notational Conventions
  20. Symbols Frequently Used
  21. Index
  22. Pure and Applied Mathematics