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The growth of the first non-Euclidean filling function of the quaternionic Heisenberg Group (1702.00954v2)
Published 3 Feb 2017 in math.DG and math.GR
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.
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