2 papers
math.DG2025
The Space of Dirac-Minimal Metrics is Connected in Dimensions 2 and 4
Bernd Ammann, Mattias Dahl
Let be a closed connected spin manifold. Index theory provides a topological lower bound on the dimension of the kernel of the Dirac operator which depends on the choice of Rie…
math.DG2023
A quadratic lower bound for the number of minimal geodesics
Bernd Ammann, Clara Loeh
A minimal geodesic on a Riemannian manifold is a geodesic defined on that lifts to a globally distance minimizing curve on the universal covering. Bangert proved that…