Skip to main content

Self-duality of Yang-Mills fields and of gravitational instantons

  • 2. Completely Integrable Systems
  • Conference paper
  • First Online:
The Riemann Problem, Complete Integrability and Arithmetic Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 925))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M.F. Atiyah, N.J. Hitchin, and I.M. Singer, Self-duality in four dimensional Riemannian geometry, Proc. Royal Soc., A 362 (1978) 425–461.

    Article  MathSciNet  MATH  Google Scholar 

  2. J.P. Bourguignon, Les Variétés de dimension 4 à signature non nulle et à courbure harmonique sont d'Einstein, Preprint, IAS. (Princeton).

    Google Scholar 

  3. J.P. Bourguignon, and H.B. Lawson, Stability and isolation phenomena for Yang-Mills fields, Preprint.

    Google Scholar 

  4. J.P. Bourguignon, H.B. Lawson, and J. Simons, Stability and gap phenomena for Yang-Mills fields, Proc. Nat. Acad. Sci. U.S.A. (1979), 1550–1553.

    Google Scholar 

  5. A. Derdzinski, Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor, to appear in Math. Z.

    Google Scholar 

  6. V.G. Drinfeld, and Y.I. Manin A description of instantons, Commun. Math. Phys. 63 (1978), 177–192.

    Article  MathSciNet  MATH  Google Scholar 

  7. G.W. Gibbons, and C.N. Pope, ℂP2 as a gravitational instanton, Commun, Math. Phys., 61 (1978), 239–248.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

David V. Chudnovsky Gregory V. Chudnovsky

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Bourguignon, J.P. (1982). Self-duality of Yang-Mills fields and of gravitational instantons. In: Chudnovsky, D.V., Chudnovsky, G.V. (eds) The Riemann Problem, Complete Integrability and Arithmetic Applications. Lecture Notes in Mathematics, vol 925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093502

Download citation

  • DOI: https://doi.org/10.1007/BFb0093502

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11483-3

  • Online ISBN: 978-3-540-39152-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics