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A geometric introduction to Yang-Mills-equations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 926)

Keywords

  • Riemannian Manifold
  • Vector Bundle
  • Twistor Space
  • Curvature Form
  • Positive Scalar Curvature

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References

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M.F. Atiyah, Geometry of Yang-Mills Fields, Pisa 1979.

    Google Scholar 

  3. J.P. Bourguignon, H.B. Lawson, Stability and Isolation phenomena for Yang-Mills fields, to appeat in Comm.Math.Physics.

    Google Scholar 

  4. J.B. Bourguignon, H.B. Lawson, Yang-Mills-Theory—its physical origins and differential geometric aspects, preprint.

    Google Scholar 

  5. V.G. Drinfeld, YuI. Manin, Instantons and shaves on CP3, Funkt. Analiz, 13 (1979), 59–74.

    CrossRef  MathSciNet  Google Scholar 

  6. Th. Friedrich, H. Kurke, Compact four-dimensional self-dual Einstein manifolds with positive scalar curvature, to appear in Math. Nachr.

    Google Scholar 

  7. Self-dual Riemannian Geometry and Instantons, Proceedings of a Summer School on Yang-Mills-Equations held in Kagel 1979, ed. by th. Friedrich, Leipzig 1981.

    Google Scholar 

  8. N.J. Hitchin, Kählerian twistor spaces, to appear in Proc.London Math. Soc.

    Google Scholar 

  9. B. Kostant, Quantization and unitary representations, Lecture Notes in Mathematics 170 (1970), 87–207.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. A.S. Schwarz, Instantons and Fermions in the field of Instantons, Comm. Math. Physics 64 (1979), 233–268.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. A. Trautman, Solution of the Maxwell and Yang-Mills Equations associated with Hopf fibrings, International Journ. of Theoretical Physics 16 (1977), 561–565.

    CrossRef  Google Scholar 

  12. K. Uhlenbeck, Removable singularities in Yang-Mills fields, Bull. Amer. Math. Soc. 1 (1979), 579–581.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1982 Springer-Verlag

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Friedrich, T. (1982). A geometric introduction to Yang-Mills-equations. In: Martini, R., de Jager, E.M. (eds) Geometric Techniques in Gauge Theories. Lecture Notes in Mathematics, vol 926. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092657

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  • DOI: https://doi.org/10.1007/BFb0092657

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11497-0

  • Online ISBN: 978-3-540-39192-0

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