3 problems

Gell-Guillarmou conjecture. The existence of such a time function follows from the null non-trapping condition and the asymptotically Minkowski structure of $g$. This conjecture co…

Asymptotically Minkowski time-function conjecture. Assumptions $({\rm aM})$ i) and iii) should imply assumption $({\rm aM})$ iv): there exists a time function $\tilde t$ such that

Let $M={\mathbb R}^{1+d}$ carry a Lorentzian metric $g$, and suppose that $(M,g)$ is globally hyperbolic. Let $\eta$ be the Minkowski metric, and assume … Here…