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Nonexistence of Quasiconformal Maps Between Certain Metric Measure Spaces

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Publication:2947830
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DOI10.1093/imrn/rnu153zbMath1342.30053arXiv1312.1305OpenAlexW2963797373WikidataQ109520644 ScholiaQ109520644MaRDI QIDQ2947830

Pekka Koskela, Enrico Le Donne, Katrin S. Fässler

Publication date: 29 September 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1305


zbMATH Keywords

Heisenberg groupquasiconformal mapsmetric measure spacesmodulus of path families


Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17) Quasiconformal mappings in metric spaces (30L10)


Related Items (3)

On uniform large-scale volume growth for the Carnot-Carathéodory metric on unbounded model hypersurfaces in \(\mathbb{C}^2\) ⋮ A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries ⋮ The morphism property of subelliptic equations on the roto-translation group




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