TY  - JOUR
A1  - Bär, Christian
A1  - Dahl, Matthias
T1  - The first dirac eigenvalue on manifolds with positive scalar curvature
N2  - 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.
Y1  - 2004
UR  - http://xxx.uni-augsburg.de/abs/math.DG/0305277
ER  - 
TY  - JOUR
A1  - Bär, Christian
A1  - Dahl, Matthias
T1  - Small eigenvalues of the conformal laplacian
N2  - We introduce a differential topological invariant for compact differentiable manifolds by counting the small eigenvalues of the Conformal Laplace operator. This invariant vanishes if and only if the manifold has a metric of positive scalar curvature. We show that the invariant does not increase under surgery of codimension at least three and we give lower and upper bounds in terms of the alpha-genus.
Y1  - 2003
UR  - http://xxx.uni-augsburg.de/abs/math.DG/0204200
ER  -