Man-Chun Lee

Volume growth and integral curvature bound for non-negatively curved three-manifolds

Motivated by results in K\"ahler geometry, in this work, we are interested in understanding the relation between integral curvature bounds and volume growth, under non-negative curvature in dimension three. In case of non-negative sectional curvature, we show that for metric on Euclidean space, it is of Euclidean volum...