A generalization of tensor calculus and its applications to physics

Abhay Ashtekar, Gary T. Horowitz, Anne Magnon-Ashtekar

Research output: Contribution to journalArticle

14 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)411-428
Number of pages18
JournalGeneral Relativity and Gravitation
Volume14
Issue number5
DOIs
StatePublished - May 1 1982

Fingerprint

calculus
bundles
gauge theory
coding
degrees of freedom
tensors
formulations
physics

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Ashtekar, Abhay ; Horowitz, Gary T. ; Magnon-Ashtekar, Anne. / A generalization of tensor calculus and its applications to physics. In: General Relativity and Gravitation. 1982 ; Vol. 14, No. 5. pp. 411-428.
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A generalization of tensor calculus and its applications to physics. / Ashtekar, Abhay; Horowitz, Gary T.; Magnon-Ashtekar, Anne.

In: General Relativity and Gravitation, Vol. 14, No. 5, 01.05.1982, p. 411-428.

Research output: Contribution to journalArticle

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