Spherical rectangles

DOI10.1007/s40598-016-0055-5zbMath1365.30006arXiv1601.04060OpenAlexW3037945084MaRDI QIDQ346728

Andrei Gabrielov, Alexandre Eremenko

Publication date: 30 November 2016

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04060

zbMATH Keywords

elliptic integralsaccessory parametersBelyi functionsHeun's equationsurfaces of positive curvature

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Elliptic functions and integrals (33E05) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (9)

Circular pentagons and real solutions of Painlevé VI equations ⋮ Deformation of the spectrum for Darboux-Treibich-Verdier potential along \(\mathrm{Re}\,\tau =\frac{1}{2}\) ⋮ Classification of generic spherical quadrilaterals ⋮ On metrics of curvature 1 with four conic singularities on tori and on the sphere ⋮ Spectrum of the Lamé operator and application. I: Deformation along \(\operatorname{Re} \tau = \frac{ 1}{ 2} \) ⋮ Spectrum of the Lamé operator and application. II: When an endpoint is a cusp ⋮ The geometry of generalized Lamé equation. II: Existence of pre-modular forms and application ⋮ Even solutions of some mean field equations at non-critical parameters on a flat torus ⋮ Existence and non-existence of solutions of the mean field equations on flat tori

Cites Work

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• A theorem of the complement and some new o-minimal structures
• Metrics with four conic singularities and spherical quadrilaterals
• Spherical Quadrilaterals with Three Non-integer Angles
• Prescribing Curvature on Compact Surfaces with Conical Singularities
• Rational functions and real Schubert calculus
• Liouville Equation and Spherical Convex Polytopes
• The Pfaffian closure of an o-minimal structure
• Spherical Metrics with Conical Singularities on a 2-Sphere: Angle Constraints
• Metrics of positive curvature with conic singularities on the sphere

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