A classification of sub-Riemannian manifolds

DOI10.1007/BF02673052zbMath0937.31013WikidataQ126227058 ScholiaQ126227058MaRDI QIDQ1972194

Sergei Vodop'yanov, Irina Markina

Publication date: 16 April 2000

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

capacityCarnot group

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Harmonic analysis on homogeneous spaces (43A85) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (16)

Classification of metric measure spaces and their ends using p-harmonic functions ⋮ Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded \((p,q)\)-distortion ⋮ On the functional properties of weak \((p, q)\)-quasiconformal homeomorphisms ⋮ On quasiconformal maps and semilinear equations in the plane ⋮ On the analytic and geometric properties of mappings in the theory of \(\mathscr{Q}_{q,p}\)-homeomorphisms ⋮ Composition operators in weighted Sobolev spaces on Carnot groups ⋮ The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms ⋮ Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function ⋮ To the theory of variational method for Beltrami equations ⋮ On the theory of convergence and compactness for Beltrami equations with constraints of set-theoretic type ⋮ \(p\)-module of vector measures in domains with intrinsic metric on Carnot groups ⋮ On capacitary characteristics of noncompact Riemannian manifolds ⋮ Moduli inequalities for W¹_n-1,loc-mappings with weighted bounded (q, p)-distortion ⋮ Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains ⋮ Composition operators in weighted Sobolev spaces on the Carnot group ⋮ On the boundary behavior of mappings with finite distortion in the plane

Cites Work

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• A change of variable that preserves the differential properties of functions
• Algebraic Criterion on Quasiconformal Equivalence of Riemann Surfaces
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
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