Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
Let M be a spatially compact globally hyperbolic Lorentzian manifold of dimension 4. We will examine under which conditions the Yamabe equation on M has a positive solution for all times in a given compact time interval. We will also discuss if it is possible to find conditions such that the solution is positive for all t∈ℝ.