25.04.2024, 16:15
– Raum 1.10
Forschungsseminar Differentialgeometrie
Atiyah-Singer-Indexsatz
Lennart Ronge (UP)
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.