Geometry of Grushin spaces

zbMath1339.53030MaRDI QIDQ5965356

Jang-Mei G. Wu

Publication date: 3 March 2016

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1455203157

zbMATH Keywords

sub-Riemannian geometrybi-Lipschitz embeddingGrushin spacequasisymmetric embeddingvon Koch snowflake

Mathematics Subject Classification ID

Metric geometry (51F99) Sub-Riemannian geometry (53C17) Quasiconformal mappings in metric spaces (30L10) Geometric embeddings of metric spaces (30L05)

Related Items

Unnamed Item ⋮ Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \) ⋮ Stochastic accessibility on Grushin-type manifolds ⋮ Quasiconformal mappings on the Grushin plane ⋮ Estimates of Dirichlet eigenvalues for degenerate \(\triangle_\mu\)-Laplace operator ⋮ Nonnegative solutions of a fractional differential inequality on Grushin spaces and nilpotent Lie groups ⋮ Quasispheres and metric doubling measures ⋮ Uniformization with infinitesimally metric measures ⋮ Singular quasisymmetric mappings in dimensions two and greater ⋮ Conformal Grushin spaces ⋮ Existence and non-existence of solutions for semilinear bi-\(\Delta_{\gamma}\)-Laplace equation

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