Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group

From MaRDI portal
Publication:5481527

DOI10.1017/S0143385705000593zbMath1097.22005MaRDI QIDQ5481527

Jeremy T. Tyson, Regula Hoefer-Isenegger, Zoltán M. Balogh

Publication date: 10 August 2006

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)




Related Items

Removable sets for homogeneous linear partial differential equations in Carnot groupsSome examples of quasiisometries of nilpotent Lie groupsCalculus of variations. Abstracts from the workshop held July 13--19, 2014.Hausdorff dimension of limit setsBi-Lipschitz extension from boundaries of certain hyperbolic spacesThe effect of projections on dimension in the Heisenberg groupConformal Graph Directed Markov Systems on Carnot GroupsA low rank property and nonexistence of higher-dimensional horizontal Sobolev setsA global inverse map theorem and biLipschitz maps in the Heisenberg groupNonexistence of horizontal Sobolev surfaces in the Heisenberg groupRigidity of fiber-preserving quasisymmetric mapsGromov's dimension comparison problem on Carnot groupsThe Lusin theorem and horizontal graphs in the Heisenberg groupA Gromov's dimension comparison estimate for rectifiable setsSub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groupsExceptional sets for self-similar fractals in Carnot groupsA comparison of Euclidean and Heisenberg Hausdorff measuresGeometric construction of quasiconformal mappings in the Heisenberg groupAn upper bound for the length of a traveling salesman path in the Heisenberg groupGlobal conformal Assouad dimension in the Heisenberg groupContact equations, Lipschitz extensions and isoperimetric inequalitiesNon-horizontal submanifolds and coarea formula




This page was built for publication: Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group