07.11.2024, 16:15 Uhr
– Raum 0.14
Forschungsseminar Differentialgeometrie
Scalar curvature along Ebin geodesics
Christoph Böhm (Münster)
Max Lewandowski
We start by discussing under which circumstances a fundamental solution can be restricted to a spacelike Cauchy hypersurface so that the corresponding Cauchy problem is well-posed which will demand some basic microlocal analysis. For the resulting solution we can derive Green's operators and, assuming the wave operator to be formally self-adjoint, prove certain properties of the fundamental solution.