Several stability theorems concerning biLipschitz maps of the Heisenberg group are established, extending (with nonsharp exponent) analogous results of F. John in Euclidean space. Due to the different geometry, the proof of John can not be extended. A careful analysis of the behavior of geodesics under biLipschitz maps is the main tool of the present paper.

N. Arcozzi, D. Morbidelli (2008). Stability of isometric maps in the Heisenberg group. COMMENTARII MATHEMATICI HELVETICI, 83, 101-141 [10.4171/CMH/120].

Stability of isometric maps in the Heisenberg group

ARCOZZI, NICOLA;MORBIDELLI, DANIELE
2008

Abstract

Several stability theorems concerning biLipschitz maps of the Heisenberg group are established, extending (with nonsharp exponent) analogous results of F. John in Euclidean space. Due to the different geometry, the proof of John can not be extended. A careful analysis of the behavior of geodesics under biLipschitz maps is the main tool of the present paper.
2008
N. Arcozzi, D. Morbidelli (2008). Stability of isometric maps in the Heisenberg group. COMMENTARII MATHEMATICI HELVETICI, 83, 101-141 [10.4171/CMH/120].
N. Arcozzi; D. Morbidelli
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/60472
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