Logarithmic potentials, quasiconformal flows, and \(Q\)-curvature

DOI10.1215/00127094-2008-005zbMath1146.30010OpenAlexW2068199361WikidataQ109553828 ScholiaQ109553828MaRDI QIDQ2482866

Eero Saksman, Juha Heinonen, Mario Bonk

Publication date: 25 April 2008

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

Full work available at URL: https://doi.org/10.1215/00127094-2008-005

zbMATH Keywords

quasiconformal homeomorphism of \(\mathbb R^n\)

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (15)

Doubling measures, monotonicity, and quasiconformality ⋮ Quasiconformal flows on non-conformally flat spheres ⋮ Dynamics of quasiconformal fields ⋮ Relating notions of convergence in geometric analysis ⋮ An Aronsson type approach to extremal quasiconformal mappings ⋮ A note on transport equation in quasiconformally invariant spaces ⋮ Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds ⋮ Toward best isoperimetric constants for \((H^1,BMO)\)-normal conformal metrics on \(\mathbb R^n,n\geqslant 3\) ⋮ Strong \(A_\infty\)-weights are \(A_\infty\)-weights on metric spaces ⋮ An upper bound of the total Q-curvature and its isoperimetric deficit for higher-dimensional conformal Euclidean metrics ⋮ Euclidean volume growth for complete Riemannian manifolds ⋮ Logarithmic potentials and quasiconformal flows on the Heisenberg group ⋮ FLOW WITH DENSITY AND TRANSPORT EQUATION IN ⋮ \(A_{\infty}\)-weights and compactness of conformal metrics under \(L^{n/2}\) curvature bounds ⋮ The isoperimetric inequality and \(Q\)-curvature

Cites Work

• Mappings with convex potentials and the quasiconformal Jacobian problem
• Conformal geometry and quasiregular mappings
• Ordinary differential equations and quasiconformal mappings
• Quasiconformal deformations and mappings in \(\mathbb R^n\)
• Global existence and convergence for a higher order flow in conformal geometry
• Bi-Lipschitz parameterization of surfaces
• On the Chern-Gauss-Bonnet integral for conformal metrics on \(\mathbb{R}^4\)
• Compactification of a class of conformally flat 4-manifold
• Functions of bounded mean oscillation and quasiconformal mappings
• On the nonexistence of bilipschitz parameterizations and geometric problems about \(A_ \infty\)-weights
• Holographic formula for \(Q\)-curvature
• On a conformal Gauss-Bonnet-Chern inequality for LCF manifolds and related topics
• Vollständige konforme Metriken und isolierte Singularitäten subharmonischer Funktionen
• Lectures on \(n\)-dimensional quasiconformal mappings
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Quasi-Symmetric Embeddings in Euclidean Spaces
• Bilipschitz rough normal coordinates for surfaces with an L^1 curvature bound
• PLANE WITH $A_{\infty}$ -WEIGHTED METRIC NOT BILIPSCHITZ EMBEDDABLE TO ${\bb R}^n$
• Quasiconformal geometry of monotone mappings
• Conformal invariants and partial differential equations
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