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Differential geometry, Lie groups and symmetric spaces over general base fields and rings


About this Title

Wolfgang Bertram

Publication: Memoirs of the American Mathematical Society
Publication Year 2008: Volume 192, Number 900
ISBNs: 978-0-8218-4091-7 (print); 978-1-4704-0506-9 (online)
DOI: http://dx.doi.org/10.1090/memo/0900
MathSciNet review: 2369581
MSC: Primary 22E20; Secondary 22E65, 51K10, 53C35, 58A05

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Table of Contents


Chapters

  • Introduction
  • I. Basic notions
  • II. Interpretation of tangent objects via scalar extensions
  • III. Second order differential geometry
  • IV. Third and higher order differential geometry
  • V. Lie theory
  • VI. Diffeomorphism groups and the exponential jet