Abstract
Penrose's abstract index notation and axiomatic introduction of covariant derivatives in tensor calculus is generalized to fields with internal degrees of freedom. The result provides, in particular, an intrinsic formulation of gauge theories without the use of bundles.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Penrose, R. (1969). InBattele Rencontres, ed. DeWitt, C, and Wheeler, J. A., Benjamin, New York.
Penrose, R., and Rindler, W.Spinors, Twistors and Space-time Structure (to appear).
Author information
Authors and Affiliations
Additional information
Work supported in part by the NSF Contract No. PHY-80-08155 and a grant from the Research and Equipment Fund, Syracuse University.
Supported in part by Crédits Ministériels, Tranche de Type C.
Rights and permissions
About this article
Cite this article
Ashtekar, A., Horowitz, G.T. & Magnon-Ashtekar, A. A generalization of tensor calculus and its applications to physics. Gen Relat Gravit 14, 411–428 (1982). https://doi.org/10.1007/BF00756326
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00756326