Uniformity of \(cc\)-balls on some class of 2-step Carnot groups

zbMath1401.30067MaRDI QIDQ1615749

Aleksandr Valer'evich Greshnov

Publication date: 31 October 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupsCarnot groupsuniform domainCarnot-Carathéodory shortest path

Mathematics Subject Classification ID

Analysis on metric spaces (30L99)

Related Items (1)

John and uniform domains in generalized Siegel boundaries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry of \(cc\)-balls and the constants in the ball-box theorem on Heisenberg group algebras
• On the Hausdorff volume in sub-Riemannian geometry
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Differentiation of integrals in \(\mathbb{R}^n\)
• Hypoelliptic differential operators and nilpotent groups
• Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics
• Geodesics of nonholonomic left-invariant intrinsic metrics on the Heisenberg group and isoperimetric curves on the Minkowski plane
• On extension of functions of bounded mean oscillation from domains in a space of homogeneous type with intrinsic metric
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians

This page was built for publication: Uniformity of \(cc\)-balls on some class of 2-step Carnot groups