4 papers
The lower mean curvature bound in Gromov's mean-of-the-mean-curvature conjecture
Christian Baer
Gromov conjectured that for a compact Riemannian manifold with boundary, the total mean curvature is bounded above by a constant depending only on the int…
Upper bound for the total mean curvature of spin fill-ins
Christian Baer
Gromov conjectured that the total mean curvature of the boundary of a compact Riemannian manifold can be estimated from above by a constant depending only on the boundary metric an…
Spectral flow and the Atiyah-Patodi-Singer index theorem
Christian Baer, Remo Ziemke
We establish a formula for the spectral flow of a smooth family of twisted Dirac operators on a closed odd-dimensional Riemannian spin manifold, generalizing a result by Getzler. T…
The degree condition in Llarull's theorem on scalar curvature rigidity
Christian Baer, Rudolf Zeidler
Llarull's scalar curvature rigidity theorem states that a 1-Lipschitz map from a closed connected Riemannian spin manifold with scalar curvature $\mathrm{scal}\ge…