General Relativity and Gravitation

, Volume 5, Issue 1, pp 73–77

Global analysis and general relativity


  • Arthur E. Fischer
    • Department of MathematicsUniversity of California
  • Jerrold E. Marsden
    • Department of MathematicsUniversity of California
Research Articles

DOI: 10.1007/BF00758076

Cite this article as:
Fischer, A.E. & Marsden, J.E. Gen Relat Gravit (1974) 5: 73. doi:10.1007/BF00758076


An outline of recent applications of modern infinitedimensional manifold techniques to general relativity is presented. The uses, scope, and future of such methods are delineated. It is argued that the mixing of the two active fields of general relativity and global analysis provides stimulation for both fields as well as producing good theorems. The authors' work on linearization stability of the Einstein equations is sketched out to substantiate the arguments.

Copyright information

© Plenum Publishing Company Limited 1974