25.07.2024, 16:30
– Raum 0.14
Forschungsseminar Differentialgeometrie
Dirac eigenvalues, hyperspherical radius and applications
Christian Bär (UP)
Andreas Hermann
The Positive Mass Conjecture for asymptotically flat Riemannian manifolds is a famous problem in geometric analysis which has been open for a long time and seems to have been solved in recent work by Schoen and Yau.
In this talk we explain a variant of this problem, where we consider closed Riemannian manifolds instead of asymptotically flat ones. We give a variational formulation of the problem and discuss possible applications.
This is joint work with Emmanuel Humbert.