12 citations · 15 across the 3 of their papers we have counts for
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math.DG1998
The Dirac operator on collapsing S^1-bundles
Bernd Ammann
We study the behavior of the spectrum of the Dirac operator on collapsing S^1-bundles. Convergent eigenvalues will exist if and only if the spin structure is projectable.
math.DG1998
A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
Ilka Agricola, Bernd Ammann, Thomas Friedrich
We compare the eigenvalues of the Dirac and Laplace operator on a two-dimensional torus with respect to the trivial spin structure. In particular, we compute their variation up to…
math.DG1998
The Dirac Operator on Nilmanifolds and Collapsing Circle Bundles
Bernd Ammann, Christian Baer
We compute the spectrum of the Dirac operator on 3-dimensional Heisenberg manifolds. The behavior under collapse to the 2-torus is studied. Depending on the spin structure either a…