Sheaves and D-modules on Lorentzian manifolds
Algebraic Geometry
2016-05-03 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We introduce a class of causal manifolds which contains the globally hyperbolic spacetimes and we prove global propagation theorems for sheaves on such manifolds. As an application, we solve globally the Cauchy problem for hyperfunction solutions of hyperbolic systems.
Cite
@article{arxiv.1510.01499,
title = {Sheaves and D-modules on Lorentzian manifolds},
author = {Benoit Jubin and Pierre Schapira},
journal= {arXiv preprint arXiv:1510.01499},
year = {2016}
}
Comments
v2: we added the hypothesis that the cone defining a causal manifold is nowhere empty and other minor corrections