# Sheaves and D-Modules on Lorentzian Manifolds

@article{Jubin2015SheavesAD, title={Sheaves and D-Modules on Lorentzian Manifolds}, author={Beno{\^i}t Jubin and P. Schapira}, journal={Letters in Mathematical Physics}, year={2015}, volume={106}, pages={607-648} }

We introduce a class of causal manifolds which contains the globally hyperbolic spacetimes and prove global propagation theorems for sheaves on such manifolds. As an application, we solve globally the Cauchy problem for hyperfunction solutions of hyperbolic systems.

## 2 Citations

A Microlocal Characterization of Lipschitz Continuity

- MathematicsPublications of the Research Institute for Mathematical Sciences
- 2018

We study continuous maps between differential manifolds from a microlocal point of view. In particular, we characterize the Lipschitz continuity of these maps in terms of the microsupport of the…

Wick Rotation for D-modules

- Mathematics, Physics
- 2017

We extend the classical Wick rotation to D-modules and higher codimensional submanifolds.

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