Variation of cone metrics on Riemann surfaces

DOI10.1016/j.jmaa.2005.02.035zbMath1080.14033OpenAlexW2136146238MaRDI QIDQ2568957

Georg Schumacher, Stefano Trapani

Publication date: 17 October 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2108/28838

zbMATH Keywords

Weil-Petersson metricholomorphic quadratic differentialsweighted divisorhyperbolic cone metric

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15)

Related Items (4)

Constant Gauss curvature foliations of AdS spacetimes with particles ⋮ Using cosmic strings to relate local geometry to spatial topology ⋮ Weil-Petersson geometry for families of hyperbolic conical Riemann surfaces ⋮ Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral

Cites Work

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• Curvature functions for open 2-manifolds
• Moduli spaces of weighted pointed stable curves.
• Prescribing Curvature on Compact Surfaces with Conical Singularities
• Point Singularities and Conformal Metrics on Riemann Surfaces
• On a Class of Conformal Metrics
• Liouville Equation and Spherical Convex Polytopes
• Curvature functions for 2-manifolds with negative Euler characteristic

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