Canonical metrics on the moduli space of Riemann surfaces. II

DOI10.4310/jdg/1121540343zbMath1086.32011arXivmath/0409220OpenAlexW1773801379WikidataQ115198567 ScholiaQ115198567MaRDI QIDQ814684

Xiaofeng Sun, Ke Feng Liu, Shing Tung Yau

Publication date: 7 February 2006

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409220

zbMATH Keywords

cotangent bundleRicci curvatureKähler-Einstein metricholomorphic sectional curvatureinjectivity radiusDeligne-Mumford compactificationfirst Chern classlogarithmic extensionDeligne-Mumford moduli spaceholomorphic bisectional curvaturecanonical metricsRicci and perturbed Ricci metricsTeichmüller and moduli spaces of Riemann surfaces

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Global Riemannian geometry, including pinching (53C20) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

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