Stability of isometric maps in the Heisenberg group

DOI10.4171/CMH/120zbMath1194.22008arXivmath/0508474MaRDI QIDQ2427582

Nicola Arcozzi, Daniele Morbidelli

Publication date: 13 May 2008

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508474

zbMATH Keywords

Heisenberg groupbiLipschitz mapssubRiemannian geometry

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Sub-Riemannian geometry (53C17)

Related Items (7)

Sharp geometric rigidity of isometries on Heisenberg groups ⋮ Isometric embeddings into Heisenberg groups ⋮ A global inverse map theorem and biLipschitz maps in the Heisenberg group ⋮ Metric normal and distance function in the Heisenberg group ⋮ Sharp bounds for geometric rigidity of isometries on Heisenberg groups ⋮ Non-horizontal submanifolds and coarea formula ⋮ Sharp estimates for geometric rigidity of isometries on the first Heisenberg group

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