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Generalized Dirac operators on Lorentzian manifolds and propagation of singularities. (English) Zbl 1235.53053

The author extends the results of N. Dencker [J. Funct. Anal. 46, 351–372 (1982; Zbl 0487.58028)]; on the propagation of singularities of a real principal type system for a generalized Dirac operator.
Contents include: An Introduction; The generalized Dirac operators on Lorentzian manifolds; Propagation of singularities; and References (four items).

MSC:

53C27 Spin and Spin\({}^c\) geometry
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics

Citations:

Zbl 0487.58028
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References:

[1] N. DENCKER, On the propagation of singularities of systems of real principal type, J. Funct. Anal., 46, no. 3 (1982), pp. 351-372. · Zbl 0487.58028 · doi:10.1016/0022-1236(82)90051-9
[2] J. J. DUISTERMAAT - L. HOÈRMANDER, Fourier integral operators II, Acta Math., 128 (1972), pp. 183-269.
[3] L. HOÈRMANDER, The analysis of linear partial differential operators, vol. 1-4 (Springer-Verlag, 1983).
[4] K. KRATZERT, Singularity structure of the two point function of the free Dirac field on a globally hyperbolicspacetime. Annalen Phys., 9 (2000), pp. 475-498. · Zbl 0958.81050 · doi:10.1002/1521-3889(200006)9:6<475::AID-ANDP475>3.0.CO;2-S
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