Spinor Green's functions via spherical means on products of space forms

Details Spinor Green's functions via spherical means on products of space forms Spinor Green's functions via spherical means on products of space forms

2010-03-29

arxiv.org/abs/1003.5615v1

J.Geom.Phys.61:180-190,2011

Physics

Mathematical Physics

15 pages.

Scientific paper

10.1016/j.geomphys.2010.09.021

We explicitly compute the Green's function of the spinor Klein-Gordon
equation on the Riemannian and Lorentzian manifolds of the form $M_0 \times ...
\times M_N$, with each factor being a space of constant sectional curvature.
Our approach is based on an extension of the method of spherical means to the
case of spinor fields and on the use of Riesz distributions.

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