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• W2155778863 abstract "Uniform bounds are developed for derivatives of solutions of the $2$-dimensional constant negative curvature equation and the Weil-Petersson metric for the Teichmuller and moduli spaces. The dependence of the bounds on the geometry of the underlying Riemann surface is studied. The comparisons between the $C^0$, $C^{2,alpha}$ and $L^2$ norms for harmonic Beltrami differentials are analyzed. Uniform bounds are given for the covariant derivatives of the Weil-Petersson curvature tensor in terms of the systoles of the underlying Riemann surfaces and the projections of the differentiation directions onto {it pinching directions}. The main analysis combines Schauder and potential theory estimates with the analytic implicit function theorem." @default.
• W2155778863 created "2016-06-24" @default.
• W2155778863 creator A5045649833 @default.
• W2155778863 date "2015-03-02" @default.
• W2155778863 modified "2023-09-27" @default.
• W2155778863 title "Equiboundedness of the Weil-Petersson metric" @default.
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