Classification of generic spherical quadrilaterals

DOI10.1007/s40598-022-00204-3arXiv2008.07999OpenAlexW3067398925MaRDI QIDQ6165449

Andrei Gabrielov

Publication date: 31 July 2023

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

Full work available at URL: https://arxiv.org/abs/2008.07999

zbMATH Keywords

conformal mappositive curvaturequadrilateralsconic singularities

Mathematics Subject Classification ID

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

Cites Work

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• Spherical rectangles
• On metrics of curvature 1 with four conic singularities on tori and on the sphere
• Elliptic functions, Green functions and the mean field equations on tori
• CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere
• Metrics with conic singularities and spherical polygons
• Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
• Spherical surfaces with conical points: systole inequality and moduli spaces with many connected components
• Circular pentagons and real solutions of Painlevé VI equations
• Metrics with four conic singularities and spherical quadrilaterals
• Spherical Quadrilaterals with Three Non-integer Angles
• Supercritical Conformal Metrics on Surfaces with Conical Singularities
• Metrics of constant positive curvature with four conic singularities on the sphere
• Sharp Nonexistence Results for Curvature Equations with Four Singular Sources on Rectangular Tori
• Liouville Equation and Spherical Convex Polytopes
• Spherical Metrics with Conical Singularities on a 2-Sphere: Angle Constraints
• Metrics of positive curvature with conic singularities on the sphere
• Moduli spaces for Lamé functions and Abelian differentials of the second kind
• Conical Metrics on Riemann Surfaces, II: Spherical Metrics
• The space of Schwarz-Klein triangles
• Mean Field Equation of Liouville Type with Singular Data: Topological Degree
• Co-axial monodromy

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