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papers

Publications (9)

math.DG2018

Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications

Christian Rose, Peter Stollmann

math.DG2016

Li-Yau gradient estimate for compact manifolds with negative part of Ricci curvature in the Kato class

Christian Rose

math.AP2019

A quantitative Carleman estimate for second order elliptic operators

Ivica Nakić, Christian Rose, Martin Tautenhahn

math.DG2019

Distance bounds for graphs with some negative Bakry-Émery curvature

Shiping Liu, Florentin Münch, Norbert Peyerimhoff +1

math.DG2016

Heat kernel upper bound on Riemannian manifolds with locally uniform Ricci curvature integral bounds

Christian Rose

math.DG2016

The Kato class on compact manifolds with integral bounds on the negative part of Ricci curvature

Christian Rose, Peter Stollmann

math.AP2015

Multiscale unique continuation properties of eigenfunctions

Denis Borisov, Ivica Nakić, Christian Rose +2

math.DG2018

Geometric and spectral estimates based on spectral Ricci curvature assumptions

Gilles Carron, Christian Rose

math.DG2018

Bounds on the first Betti number - an approach via Schatten norm estimates on semigroup differences

Marcel Hansmann, Christian Rose, Peter Stollmann