Skip to main content
SpringerLink
Log in

A monotonicity formula for Yang-Mills fields

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. ALLARD, W.K.: On the first variation of a varifold, Ann. of Math.95, 417–491 (1972)

    Google Scholar 

  2. BOURGUIGNON, J.P., LAWSON, Jr., H.B.: Stability and isolation phenomena for Yang-Mills fields, Commun. Math. Phys.79, 189–230 (1981)

    Google Scholar 

  3. DE GIORGI, E.: Frontiere orientate di misura minima, Sem. Mat. Scuola Norm. Sup. Pisa (1961)

  4. FEDERER, H.: Geometric measure theory, Springer-Verlag, Berlin (1969)

    Google Scholar 

  5. GARBER, W-D, RUIJSENAARS, S.N.M., SEILER, E., BURNS, D.: On finite action solutions of the nonlinear σ-model, Ann. Phys.119, 305–325 (1979)

    Google Scholar 

  6. HILDEBRANDT, S.: Nonlinear elliptic systems and harmonic mappings, Proceedings of the Beijing Symposium on Differential Geometry and Differential Equations, Beijing, 1980, to appear

  7. LAWSON, Jr., H.B.: Minimal varieties in real and complex geometry, S.M.S.57, Universite dé Montréal (1974)

  8. MORREY, Jr., C.B.: The problem of Plateau on a Riemannian manifold, Ann. of Math.49, 807–851 (1948)

    Google Scholar 

  9. PRICE, P.F., SIMON, L.: Monotonicity formulae for harmonic maps and Yang-Mills fields. Preliminary report. Unpublished

  10. SAMPSON, J.H.: On harmonic mappings, Istit. Naz. Alta Mat., Symp. Mat.26, 197–210 (1982)

    Google Scholar 

  11. SCHOEN, R., UHLENBECK, K.: A regularity theory for harmonic maps, J. Diff. Geom.17, 307–335 (1982)

    Google Scholar 

  12. SIMONS, J.: Minimal varieties in Riemannian manifolds, Ann. of Math.88, 62–105 (1968)

    Google Scholar 

  13. SIMONS, J.: Gauge fields, a lecture given during the “Japan — United States Seminar on Minimal Submanifolds, including Geodesics:, Tokyo, (1977). (See also [2])

  14. SIU, Y.T., YAU, S.T.: Compact Kähler manifolds of positive bisectional curvature, Invent. Math.59, 189–204 (1980)

    Google Scholar 

  15. UHLENBECK, K.K.: Removeable singularities in Yang-Mills fields, Commun. Math. Phys.83, 11–29 (1982)

    Google Scholar 

  16. UHLENBECK, K.K.: Connections with Lp bounds on curvature, Commun. Math. Phys.83, 31–42 (1982)

    Google Scholar 

  17. XIN, Y.L.: Some results on stable harmonic maps, Duke Math. J.47, 609–613 (1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics Institute of Advanced Studies, Australian National University, PO Box 4, 2600, Canberra, ACT, Australia

    Peter Price

Authors
  1. Peter Price
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Price, P. A monotonicity formula for Yang-Mills fields. Manuscripta Math 43, 131–166 (1983). https://doi.org/10.1007/BF01165828

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01165828

Keywords

Search

Navigation