On the moving frame of a conformal map from 2-disk into \({\mathbb{R}^n}\)

DOI10.1007/s00526-011-0471-2zbMath1258.53008OpenAlexW1984525391MaRDI QIDQ1937829

Yuxiang Li, Yong Luo, Hongyan Tang

Publication date: 1 February 2013

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-011-0471-2

zbMATH Keywords

second fundamental form\(L^2\)-normcompensation phenomena

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

Refinement of Hélein's conjecture on boundedness of conformal factors when \(n = 3\) ⋮ Geometric rigidity for sequences of \(W^{2,2}\) conformal immersions ⋮ On the convergence behavior of conformal immersion sequence from cylinders ⋮ A resolution of the Poisson problem for elastic plates ⋮ On conformal surfaces of annulus type ⋮ Limits of conformal immersions under a bound on a fractional normal curvature quantity

Cites Work

• Surfaces with generalized second fundamental form in \(L^ 2\) are Lipschitz manifolds
• Estimations of the best constant involving the \(L^ \infty\) norm in Wente's inequality
• The optimal constant in Wente's \(L^\infty\) estimate
• On surfaces of finite total curvature
• Estimations of the best constant involving the L²norm in Wente's inequality and compact H-surfaces in Euclidean space

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