The growth of the first non-Euclidean filling function of the quaternionic Heisenberg Group
arXiv:1702.00954
Abstract
The filling volume functions of the n-th quaternionic Heisenberg group grow, up to dimension n, as fast as the ones of the Euclidean space. We identify the growth rate of the filling volume function in dimension n+1, which is strictly faster than the growth rate of the (n+1)-dimensional filling volume function of the Euclidean space.
arXiv commentimproved formulation of the proof of Theorem 1 due to referee report; to appear in Advances in Geometry