1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.CT2021
Norms on Categories and Analogs of the Schröder-Bernstein Theorem
Daniel Luckhardt, Matt Insall
We generalize the concept of a norm on a vector space to one of a norm on a category. This provides a unified perspective on many specific matters in many different areas of mathem…
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…