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math.DG2017
Heat kernels and regularity for rough metrics on smooth manifolds
Lashi Bandara, Paul Bryan
We consider rough metrics on smooth manifolds and corresponding Laplacians induced by such metrics. We demonstrate that globally continuous heat kernels exist and are Hölder contin…
math.DG2017★ 7 cited
Harnack inequalities for curvature flows in Riemannian and Lorentzian manifolds
Paul Bryan, Mohammad N. Ivaki, Julian Scheuer
We obtain Harnack estimates for a class of curvature flows in Riemannian manifolds of constant non-negative sectional curvature as well as in the Lorentzian Minkowski and de Sitter…