Bilipschitz rough normal coordinates for surfaces with an L^1 curvature bound

DOI10.1512/iumj.1998.47.1527zbMath0942.53007OpenAlexW1976323128MaRDI QIDQ4221421

Joseph Howland Guthrie Fu

Publication date: 11 April 1999

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1998.47.1527

zbMATH Keywords

Gaussian curvatureHausdorff topologybi-Lipschitz parametersLipschitz submanifold

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25)

Related Items (7)

Nonsmooth calculus ⋮ Quasiconformal flows on non-conformally flat spheres ⋮ Bi-Lipschitz parameterization of surfaces ⋮ Uniformization of two-dimensional metric surfaces ⋮ Logarithmic potentials, quasiconformal flows, and \(Q\)-curvature ⋮ Global curvature for surfaces and area minimization under a thickness constraint ⋮ Stably embedded surfaces of bounded integral curvature

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