Bounded properties of curvatures of perturbed Ricci metric on curve moduli

DOI10.1142/S0129167X14501134zbMath1306.32011MaRDI QIDQ5498587

Xiaorui Zhu

Publication date: 9 February 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

moduli spaceWeil-Petersson geometryperturbed Ricci metric

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

• On the determinant of the bundle of meromorphic quadratic differentials on the Deligne-Mumford compactification of the moduli space of Riemann surfaces
• Canonical metrics on the moduli space of Riemann surfaces. II
• Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
• Chern forms and the Riemann tensor for the moduli space of curves
• On a natural algebraic affine connection on the space of almost complex structures and the curvature of Teichmüller space with respect to its Weil-Petersson metric
• The extension of the Weil-Petersson metric to the boundary of Teichmüller space
• The finite Weil-Petersson diameter of Riemann space
• Some remarks on Teichmüller's space of Riemann surfaces
• Canonical metrics on the moduli space of Riemann surfaces. I
• The Weil–Petersson geometry of the moduli space of Riemann surfaces
• The Weil-Petersson geometry on the thick part of the moduli space of Riemann surfaces

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