The Yamabe problem on Lorentzian manifolds

25.04.2019, 16:15  –  Haus 9, Raum 0.12
Forschungsseminar Differentialgeometrie

Viktoria Rothe

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.