The growth of the first non-Euclidean filling function of the quaternionic Heisenberg Group
| Autor: | Gruber, Moritz |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: improved formulation of the proof of Theorem 1 due to referee report; to appear in Advances in Geometry |
| Databáze: | arXiv |
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