Institut für Mathematik, Universität Potsdam, PF 601553, 14415 Potsdam, Germany ; Institutionen för Matematik, Kungliga Tekniska Högskolan, 100 44 Stockholm, Sweden
Abstract:
We show that on every compact spin manifold admitting a Riemannian metric of positive scalar curvature Friedrich's eigenvalue estimate for the Dirac operator can be made sharp up to an arbitrarily small given error by choosing the metric suitably.