On J. C. C. Nitsche type inequality for annuli on Riemann surfaces

DOI10.1007/s11856-017-1459-1zbMath1368.30019arXiv1204.5419OpenAlexW2263583086MaRDI QIDQ522327

David Kalaj

Publication date: 28 April 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5419

zbMATH Keywords

conformal metricRiemann surfaceGaussian curvaturegeodesic annulusharmonic homeomorphismNitsche problem

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Harmonic functions on Riemann surfaces (30F15) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items

Lipschitz property of minimisers between double connected surfaces ⋮ Schwarz Pick type inequalities for harmonic maps between Riemann surfaces ⋮ \((n,\rho)\)-harmonic mappings and energy minimal deformations between annuli ⋮ Radial symmetry of minimizers to the weighted Dirichlet energy ⋮ Hyperelastic deformations and total combined energy of mappings between annuli ⋮ The existence of minimizers of energy for diffeomorphisms between two-dimensional annuli in \(\mathbb{R}^2\) and \(\mathbb{R}^3\)

Cites Work

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• Energy-minimal diffeomorphisms between doubly connected Riemann surfaces
• Harmonic maps between annuli on Riemann surfaces
• Existence of energy-minimal diffeomorphisms between doubly connected domains
• Doubly connected minimal surfaces and extremal harmonic mappings
• Harmonic maps between surfaces (with a special chapter on conformal mappings)
• On the univalent solution of PDE \(\Delta u=f\) between spherical annuli
• Deformations of annuli with smallest mean distortion
• Inner estimate and quasiconformal harmonic maps between smooth domains
• A new variant of the Schwarz-Pick-Ahlfors lemma
• On the Nitsche conjecture for harmonic mappings in \(\mathbb R^2\) and \(\mathbb R^3\)
• The harmonic mapping problem and affine capacity
• THE MODULUS OF THE IMAGE ANNULI UNDER UNIVALENT HARMONIC MAPPINGS AND A CONJECTURE OF NITSCHE
• Deformations of annuli on Riemann surfaces and the generalization of Nitsche conjecture
• On the Module of Doubly-Connected Regions Under Harmonic Mappings
• The Nitsche conjecture
• 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians
• Riemannian geometry and geometric analysis
• Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche