12 citations · 38 across the 16 of their papers we have counts for
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math.DG2016
Li-Yau gradient estimate for compact manifolds with negative part of Ricci curvature in the Kato class
Christian Rose
This article shows that if the negative part of Ricci curvature lies in the Kato class, the heat kernel satisfies a Li-Yau type estimate. Additionally, using the resulting heat ker…
math.DG2016
The Kato class on compact manifolds with integral bounds on the negative part of Ricci curvature
Christian Rose, Peter Stollmann
We show that under Ricci curvature integral assumptions the dimension of the first cohomology group can be estimated in terms of the Kato constant of the negative part of the Ricci…
math.DG2016★ 1 cited
Heat kernel upper bound on Riemannian manifolds with locally uniform Ricci curvature integral bounds
Christian Rose
This article shows that under locally uniformly integral bounds of the negative part of Ricci curvature the heat kernel admits a Gaussian upper bound for small times. This provides…