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

Mathematical Physics 2010-11-23 v1 General Relativity and Quantum Cosmology High Energy Physics - Theory math.MP

Abstract

We explicitly compute the Green's function of the spinor Klein-Gordon equation on the Riemannian and Lorentzian manifolds of the form M0×...×MNM_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.

Keywords

Cite

@article{arxiv.1003.5615,
  title  = {Spinor Green's functions via spherical means on products of space forms},
  author = {Alberto Enciso and Niky Kamran},
  journal= {arXiv preprint arXiv:1003.5615},
  year   = {2010}
}

Comments

15 pages.