12 citations · 38 across the 16 of their papers we have counts for
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math.DG2018
Bounds on the first Betti number - an approach via Schatten norm estimates on semigroup differences
Marcel Hansmann, Christian Rose, Peter Stollmann
We derive new estimates for the first Betti number of compact Riemannian manifolds. Our approach relies on the Birman-Schwinger principle and Schatten norm estimates for semigroup…
math.DG2018★ 1 cited
Geometric and spectral estimates based on spectral Ricci curvature assumptions
Gilles Carron, Christian Rose
We obtain a Bonnet-Myers theorem under a spectral condition: a closed Riemannian manifold for which the lowest eigenvalue of the Ricci tensor is such that the Schrödi…
math.DG2018★ 1 cited
Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications
Christian Rose, Peter Stollmann
We review recent results about heat kernel estimates based on Kato conditions on the negative part of the Ricci curvature.