08.05.2025, 16:15
– Haus 9, Raum 1.22
Forschungsseminar Differentialgeometrie
Scalar Curvature Rigidity and Higher Index Theory
Thomas Tony
Markus Wolff
We study the effects of the null energy condition on both spacelike and timelike umbilical hypersurfaces in a class of static spacetimes. In the spacelike case, we study umbilical warped product graphs and give a full characterization of embedded surfaces with constant spacetime mean curvature using an Alexandrov Theorem by Brendle. In the timelike case, we achieve a characterization of photon surfaces with constant umbilicity factor similar to a recent result by Cederbaum and Galloway.