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arXiv · 1702.00954

The growth of the first non-Euclidean filling function of the quaternionic Heisenberg Group

Moritz Gruber
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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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Moritz Gruber. 2017-02-03. The growth of the first non-Euclidean filling function of the quaternionic Heisenberg Group. https://arxiv.org/abs/1702.00954

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