Spinor Green’s functions via spherical means on products of space forms期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Alberto Enciso Niky Kamran

Affiliation:	1. Departement Mathematik, ETH Zürich, 8092 Zürich, Switzerland;2. Department of Mathematics and Statistics, McGill University, Montréal, Québec, Canada H3A 2K6

Abstract:	We explicitly compute the Green’s function of the spinor Klein–Gordon equation on the Riemannian and Lorentzian manifolds of the form _M₀×?×_M_N $M_{0} \times ? \times M_{N}$ , 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.

Keywords:	Green&rsquo s function Spinor Wave equation Explicit representation Spherical means
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