25.04.2024, 16:15
– Raum 1.10
Forschungsseminar Differentialgeometrie
Atiyah-Singer-Indexsatz
Lennart Ronge (UP)
We give a new extrinsic upper bound for the smallest eigenvalues of the Dirac operator of a hypersurface. If the ambient manifold is the hyperbolic space, we show that its limiting case is achieved only for geodesic spheres.