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math.DG2020
A volume comparison theorem for characteristic numbers
Daniel Luckhardt
We show that assuming lower bounds on the Ricci curvature and the injectivity radius the absolute value of certain characteristic numbers of a Riemannian manifold, including all Po…
math.DG2020★ 1 cited
Curvature bounds for regularized riemannian metrics
Daniel Luckhardt, Jan-Bernhard Kordaß
We investigate regularization of riemannian metrics by mollification. Assuming both-sided bounds on the Ricci tensor and a lower injectivity radius bound we obtain a uniform estima…