Metrics of constant positive curvature with four conic singularities on the sphere

DOI10.1090/proc/15012zbMath1448.34161arXiv1905.02537OpenAlexW3005471808MaRDI QIDQ3298165

Alexandre Eremenko

Publication date: 21 July 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02537

zbMATH Keywords

entire functionssurfacespositive curvatureaccessory parameterselliptic Heun's equation

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

We Found 11 Related Items (max. 100)

Spherical conical metrics and harmonic maps to spheres ⋮ Moduli of spherical tori with one conical point ⋮ Elliptic KdV potentials and conical metrics of positive constant curvature. I ⋮ Dihedral monodromy of cone spherical metrics ⋮ On Conformal Metrics of Constant Positive Curvature in the Plane ⋮ A singular Kazdan-Warner problem on a compact Riemann surface ⋮ Classification of generic spherical quadrilaterals ⋮ On the asymptotics for minimizers of Donaldson functional in Teichmüller theory ⋮ Spectral properties of reducible conical metrics ⋮ Irreducible cone spherical metrics and stable extensions of two line bundles ⋮ Even solutions of some mean field equations at non-critical parameters on a flat torus

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