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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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