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Positivity of energy in Abelian principal bundles over spacetime. (English) Zbl 0623.53032
From the author’s abstract: “Five-dimensional classical unified field theories may be described in terms of the geometry of a five-dimensional Lorentz space $$V_ 5$$. This space is a principal bundle over spacetime $$V_ 4$$, with metric $$g_{ij}$$ and gauge group U(1). Some properties obtain, when $$V_ 5$$ is replaced by a Lorentzian space $$V_ N$$, a principal bundle over an asymptotically flat $$V_ 4$$ with an abelian group as its gauge group.”
Reviewer: A.Crumeyrolle

##### MSC:
 53B50 Applications of local differential geometry to the sciences 53B30 Local differential geometry of Lorentz metrics, indefinite metrics 83E15 Kaluza-Klein and other higher-dimensional theories
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