The classification of flat Riemannian metrics on the plane

DOI10.1007/s10455-021-09766-5zbMath1468.53010arXiv2001.03888OpenAlexW3156587922WikidataQ115384534 ScholiaQ115384534MaRDI QIDQ2033061

Lee B. Whitt, Vincent E. jun. Coll

Publication date: 14 June 2021

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03888

zbMATH Keywords

Riemann surfacesharmonic functionsflat metrics

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Local Riemannian geometry (53B20) Methods of local Riemannian geometry (53B21)

Cites Work

• Smoothness to the boundary of conformal maps
• On subharmonic functions and differential geometry in the large
• The heat equation shrinks embedded plane curves to round points
• Scalar curvature and conformal deformation of Riemannian structure
• General solutions to the 2D Liouville equation
• Connectedness properties of the space of complete nonnegatively curved planes
• Log-Riemann surfaces, Caratheodory convergence and Euler’s formula
• A Riemannian four vertex theorem for surfaces with boundary
• THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS
• Compact Riemann surfaces. An introduction to contemporary mathematics

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