Schwarz Pick type inequalities for harmonic maps between Riemann surfaces

DOI10.1080/17476933.2018.1530664zbMath1426.31002OpenAlexW2896551270MaRDI QIDQ5379418

Jian-Feng Zhu, David Kalaj

Publication date: 12 June 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2018.1530664

zbMATH Keywords

Schwarz lemmaharmonic mappingsgeodesic disk of a Riemann surface

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Riemann surfaces (30F99)

Related Items (7)

General Heinz-Schwarz type inequalities for certain mappings in space ⋮ On Schwarz-Pick type inequality for mappings satisfying Poisson differential inequality ⋮ Gaussian curvature of minimal graphs in \(M \times \mathbb{R} \) ⋮ ON A QUASI‐ISOMETRY FOR QUASICONFORMAL MAPPING SATISFYING POISSON DIFFERENTIAL INEQUALITY ⋮ Some inequalities for self-mappings of unit ball satisfying the invariant Laplacians ⋮ On Schwarz-Pick-type inequality and Lipschitz continuity for solutions to nonhomogeneous biharmonic equations ⋮ Schwarz lemma for harmonic mappings into a geodesic line in a Riemann surfaces

Cites Work

• On J. C. C. Nitsche type inequality for annuli on Riemann surfaces
• On one-to-one harmonic mappings
• Harmonic maps between surfaces (with a special chapter on conformal mappings)
• Inner estimate and quasiconformal harmonic maps between smooth domains
• Harmonic mappings and minimal submanifolds
• A Schwarz lemma for harmonic and hyperbolic-harmonic functions in higher dimensions
• Riemannsche Geometrie im Großen. 2. Aufl
• A new variant of the Schwarz-Pick-Ahlfors lemma
• Remarks on conformal transformations
• On harmonic functions and the Schwarz lemma
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