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

2. Completely Integrable Systems

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

Keywords

  • Tangent Bundle
  • Hodge Theory
  • Gravitational Instantons
  • Riemannian Homogeneous Manifold
  • Harmonic Curvature

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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.

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

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

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  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.

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

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

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

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© 1982 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11483-3

  • Online ISBN: 978-3-540-39152-4

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