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Non-definite complex manifolds: an alternative gauge theory? (English) Zbl 0641.53080

The structure of a complex manifold with a complex bilinear pseudo-metric structures is investigated. A topological consequence of the existence of such metric is the possibility of foliating a complex 4-dimensional manifold \(V_ 4\) into real 4-dimensional submanifolds. The author studies the behaviour of geodesics on \(V_ 4\) and thus implicitly the motion of test particles. Particles which follow complex geodesics of the manifold have quantum-like behaviour.
Reviewer: St.Ianus

MSC:

53C80 Applications of global differential geometry to the sciences
83E15 Kaluza-Klein and other higher-dimensional theories
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