On conformal planes of finite area

DOI10.1007/s00209-023-03381-9arXiv2211.01347OpenAlexW4387904832MaRDI QIDQ6060827

Alexander Lytchak

Publication date: 6 November 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.01347

zbMATH Keywords

uniformizationcurvature boundsAlexandrov surface

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Semilinear elliptic equations (35J61)

Cites Work

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• Uniformization of two-dimensional metric surfaces
• Classification of solutions of some nonlinear elliptic equations
• Asymptotic radial symmetry for solutions of \(\Delta u+e^ u=0\) in a punctured disc
• Quasisymmetric parametrizations of two-dimensional metric spheres
• Canonical parameterizations of metric disks
• Uniformization with infinitesimally metric measures
• Vollständige konforme Metriken und isolierte Singularitäten subharmonischer Funktionen
• Completion of $\mathbb{R}^2$ with a Conformal Metric as a Closed Surface
• Total Curvatures and Minimal Areas of Complete Open Surfaces
• Differential equations on riemannian manifolds and their geometric applications
• The limit spaces of two-dimensional manifolds with uniformly bounded integral curvature
• Spherical Metrics with Conical Singularities on a 2-Sphere: Angle Constraints
• Metrics of positive curvature with conic singularities on the sphere
• Moderate smoothness of most Alexandrov surfaces
• Quasiconformal Mappings and Schwarz's Lemma
• The Branch Set of Minimal Disks in Metric Spaces
• Some geometric inequalities related to Liouville equation
• Polyhedral approximation of metric surfaces and applications to uniformization

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