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

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Publication:2322408
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DOI10.1515/advgeom-2019-0003OpenAlexW2962922124MaRDI QIDQ2322408

Moritz Gruber

Publication date: 4 September 2019

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00954


zbMATH Keywords

isoperimetric inequalitiesnilpotent Lie groupsfilling volume functions


Mathematics Subject Classification ID

Geometric group theory (20F65) Nilpotent groups (20F18)


Related Items (2)

Filling invariants of stratified nilpotent Lie groups ⋮ Higher divergence for nilpotent Lie groups




Cites Work

  • High-dimensional fillings in Heisenberg groups
  • Isoperimetry of nilpotent groups
  • Homological and homotopical higher-order filling functions.
  • Filling invariants of stratified nilpotent Lie groups
  • Normal and integral currents
  • Filling inequalities for nilpotent groups through approximations.
  • A short proof of Gromov's filling inequality
  • Unnamed Item




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