On Harnack’s theorem and extensions: A geometric proof and applications

DOI10.1090/S1088-4173-08-00184-7zbMath1193.30054MaRDI QIDQ3559522

Hugo Parlier, Antonio F. Costa

Publication date: 6 May 2010

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

simple closed geodesicshyperbolic Riemann surfacesorientation reversing involutions

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Plane and space curves (14H50) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Classification theory of Riemann surfaces (30F20)

Related Items (2)

On Riemann surfaces of genus \(g\) with \(4g\) automorphisms ⋮ Involutions on surfaces

Cites Work

• Unnamed Item
• Bases for quadratic differentials
• Riemann surfaces with shortest geodesic of maximal length
• Triangulations and moduli spaces of Riemann surfaces with group actions
• On non-Euclidean crystallographic groups
• Moduli spaces of stable real algebraic curves
• The Classification of Non-Euclidean Plane Crystallographic Groups
• Geometry and spectra of compact Riemann surfaces

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