Distances on Lie groups of polynomial volume growth

DOI10.1007/s00209-005-0799-4zbMath1078.22002OpenAlexW2060352460WikidataQ115388837 ScholiaQ115388837MaRDI QIDQ2574938

Nourredine Bounechada

Publication date: 5 December 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-005-0799-4

zbMATH Keywords

polynomial growthsolvable Lie groupinvariant distance

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) General theory of distance geometry (51K05)

Cites Work

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• Nilpotent groups and their automorphisms
• Some sufficient conditions for a group to be nilpotent
• Distortion of distances in nilpotent Lie groups
• Centered densities on Lie groups of polynomial volume growth
• An Application of Homogenization Theory to Harmonic Analysis: Harnack Inequalities And Riesz Transforms on Lie Groups of Polynomial Growth
• Geometric and Potential Theoretic Results on Lie Groups
• G-Induced Flows
• Unitary representations of solvable Lie groups

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