Numerical Computation of Weil--Peterson Geodesics in the Universal Teichmüller Space

DOI10.1137/15M1043947zbMath1383.30012arXiv1307.2358MaRDI QIDQ3130748

Matt Feiszli, Akil C. Narayan

Publication date: 26 January 2018

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2358

zbMATH Keywords

geodesicsnumerical solutionsuniversal Teichmüller spaceWeil-Peterson metric

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Numerical methods in complex analysis (potential theory, etc.) (65E99)

Related Items

The traveling salesman theorem for Jordan curves ⋮ Function theoretic characterizations of Weil-Petersson curves ⋮ Weil-Petersson Teichmüller space. III: Dependence of Riemann mappings for Weil-Petersson curves

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

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• Numerical mapping of exterior domains
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• Generalizing the Singular Value Decomposition
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• Schwarz-Christoffel Mapping
• Convergence of a Variant of the Zipper Algorithm for Conformal Mapping
• Weil-Petersson metric on the universal Teichmüller space
• Shapes and diffeomorphisms