Einstein equations without killing vectors, non-linear sigma models and self-dual yang-mills theory

  • Norma Sánchez
V. Non-Linear Systems, Integrability And Foliations
Part of the Lecture Notes in Mathematics book series (LNM, volume 1139)


We analyze the connection between non-linear sigma models, self-dual Yang-Mills theory and General Relativity (self-dual and non self-dual, with and without Killing vectors), both at the level of the equations and at the level of the different types of solutions (solitons, instantons and calorons) of these theories.


Einstein Equation Sigma Model Killing Vector Imaginary Time Wick Rotation 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Norma Sánchez
    • 1
  1. 1.ER 176-CNRS, Département d'Astrophysique FondamentaleObservatoire de MeudonMeudonFrance

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