23.10.2025, 16:15 Uhr
– Building 9, Room 1.22, Golm
Forschungsseminar Differentialgeometrie
Spinorial proofs of the positive mass theorem
Rudolf Zeidler
We give a new upper bound for the smallest eigenvalues of the Dirac operator on a Riemannian flow carrying transversal Killing spinors. We derive an estimate on Sasakian and on 3-dimensional manifolds and partially classify those satisfying the limiting case. Finally, we compare our estimate with a lower bound in terms of a natural tensor depending on the eigenspinor.