English

Generalized Dirac operators on Lorentzian manifolds and propagation of singularities

Differential Geometry 2011-10-10 v1 Mathematical Physics Analysis of PDEs math.MP

Abstract

We survey the correct definition of a generalized Dirac operator on a Space--Time and the classical result about propagation of singularities. This says that light travels along light--like geodesics. Finally we show this is also true for generalized Dirac operators.

Keywords

Cite

@article{arxiv.1110.1475,
  title  = {Generalized Dirac operators on Lorentzian manifolds and propagation of singularities},
  author = {Paolo Antonini},
  journal= {arXiv preprint arXiv:1110.1475},
  year   = {2011}
}