Skip to main content
Log in

Gauge-natural forms of Chern-Weil type

  • Published:
Annals of Global Analysis and Geometry Aims and scope Submit manuscript

Abstract

We determine all gauge-natural forms on a principal fiber bundle with values in an arbitrary associated vector bundle, which generalize the classical Chern-Weil forms.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Eck, D.J.: Gauge-natural bundles and generalized gauge theories.Mem. Amer. Math. Soc. 33, No. 247 (1981).

  2. Kobayashi, S.;Nomizu, K.:Foundations of differential geometry II. Interscience Publishers, New York-London 1969.

    Google Scholar 

  3. Kolář, I.: On the prolongations of geometric object fields,An. Stiint. Univ. “Al I. Cuza” Iaşi 17 (1971), 437–446.

    Google Scholar 

  4. Kolář, I.: Some natural operators in differential geometry. In:Proc. Conf. Diff. Geometry and Its Appl., Brno, August 24–30, 1986. Dordrecht 1987, pp. 91–110.

  5. Kolář, I.; Michor, P.W.; Slovák, J.:Natural operations in differential geometry. To appear.

  6. Koszul, J.L.:Fibre bundle and differential geometry. Tata Inst. Fund. Res. Stud. Math., Bombay 1960.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kolář, I. Gauge-natural forms of Chern-Weil type. Ann Glob Anal Geom 11, 41–47 (1993). https://doi.org/10.1007/BF00773363

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00773363

Key words

MSC 1991

Navigation