A new proof of Huber's theorem on differential geometry in the large

DOI10.1007/s10711-023-00769-zOpenAlexW4323321776MaRDI QIDQ2689732

Chen Zhou

Publication date: 14 March 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11348

zbMATH Keywords

potential theoryconformal metricfinite topological typeGaussian curvature

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Classification theory of Riemann surfaces (30F20)

Cites Work

• On subharmonic functions and differential geometry in the large
• Curvature, diameter and Betti numbers
• Structure theorems for complete Kähler manifolds and applications to Lefschetz type theorems
• On the structure of complete manifolds of nonnegative curvature
• Lower curvature bounds, Toponogov's theorem, and bounded topology
• ON THE EXISTENCE OF POSITIVE FUNDAMENTAL SOLUTIONS OF THE LAPLACE EQUATION ON RIEMANNIAN MANIFOLDS
• Lower curvature bounds, Toponogov's theorem, and bounded topology. II
• Differential equations on riemannian manifolds and their geometric applications
• Betti Numbers of Alexandrov Spaces
• Almost flat manifolds
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