Invertible Carnot Groups

• Autorzy: David M. Freeman
• Języki publikacji: EN

Abstrakty

EN

We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity. A more general characterization of inversion invariant bi-Lipschitz homogeneity for certain non-fractal metric spaces is also provided.

Słowa kluczowe

EN

metric inversion; bi-Lipschitz homogeneity; Carnot groups

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2014
• Tom: 2
• Numer: 1

Daty

otrzymano

2013-12-12

zaakceptowano

2014-08-11

online

2014-09-19

Twórcy

autor

David M. Freeman

• University of Cincinnati Blue Ash College, 9555 Plainfield Road, Cincinnati, Ohio 45236

Bibliografia

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Identyfikatory

DOI

10.2478/agms-2014-0009