Bi-Lipschitz parameterization of surfaces

DOI10.1007/s00208-003-0443-8zbMath1042.53044OpenAlexW2111444109WikidataQ125120678 ScholiaQ125120678MaRDI QIDQ1411998

Urs Lang, Mario Bonk

Publication date: 4 November 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/46250

zbMATH Keywords

convex polyhedronDirac measureGauss-Bonnet formulasymmetric surfacesbi-Lipschitz parametrization

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items

Nonsmooth calculus, Bi-Lipschitz-equivalent Aleksandrov surfaces, I, Existence of global Chebyshev nets on surfaces of absolute Gaussian curvature less than \(2\pi\), Metric-measure boundary and geodesic flow on Alexandrov spaces, Quasiconformal flows on non-conformally flat spheres, Triangulating metric surfaces, Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds, Scalar curvature via local extent, Strong \(A_{\infty}\)-weights and scaling invariant Besov capacities, Quantitative bi-Lipschitz embeddings of bounded-curvature manifolds and orbifolds, Uniformization of two-dimensional metric surfaces, Logarithmic potentials, quasiconformal flows, and \(Q\)-curvature, Remarks on Chebyshev coordinates, Global curvature for surfaces and area minimization under a thickness constraint, Chord-arc constants for submanifolds of arbitrary codimension, Asymptotically flat three-manifolds contain minimal planes, Bi-Lipschitz-equivalent Aleksandrov surfaces, II, Conformal Grushin spaces, Quasi-isometric surface parameterization, Uniformization of metric surfaces using isothermal coordinates, The isoperimetric inequality and \(Q\)-curvature

Cites Work

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• Zum potentialtheoretischen Aspekt der Alexandrowschen Flächentheorie
• Geodesics and totally convex sets on surfaces
• On the existence of escaping geodesics
• Surfaces with generalized second fundamental form in \(L^ 2\) are Lipschitz manifolds
• Geometric conditions and existence of bi-Lipschitz parameterizations
• On surfaces of finite total curvature
• On the nonexistence of bilipschitz parameterizations and geometric problems about \(A_ \infty\)-weights
• Vollständige konforme Metriken und isolierte Singularitäten subharmonischer Funktionen
• Hypersurfaces in R n Whose Unit Normal has Small BMO Norm
• Bilipschitz rough normal coordinates for surfaces with an L^1 curvature bound
• A Problem in Cartography