Equilateral dimension of the Heisenberg group

DOI10.1007/s10711-023-00795-xarXiv2111.14476OpenAlexW4376130319MaRDI QIDQ6163401

Ioannis D. Platis, Joonhyung Kim

Publication date: 9 June 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.14476

zbMATH Keywords

equilateral dimensionHeisenberg groupmetric spaceKorányi metric

Mathematics Subject Classification ID

Homogeneous spaces (22F30) General geometric structures on low-dimensional manifolds (57M50)

Cites Work

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• Maximal equilateral sets
• A problem of Kusner on equilateral sets
• Equilateral sets in \(l_p^n\)
• Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric
• On equilateral simplices in normed spaces
• Über zwei Probleme bezüglich konvexer Körper von P. Erdős und von V.L. Klee
• Marstrand's density theorem in the Heisenberg group
• Equilateral Sets in Minkowski Spaces

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