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Displaying similar documents to “Metrics of constant curvature on a Riemann surface with two corners on the boundary”

The Paneitz equation in hyperbolic space

Hans-Christoph Grunau, Mohameden Ould Ahmedou, Wolfgang Reichel (2008)

Annales de l'I.H.P. Analyse non linéaire

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An integral formula for closed surfaces and a generalization of $H p$ -theorem

Giovanni Rotondaro (1988)

Commentationes Mathematicae Universitatis Carolinae

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Geometric structure of tubes and bands of zero mean curvature.

Klyachin, V.A., Miklyukov, V.M. (2003)

Annales Academiae Scientiarum Fennicae. Mathematica

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Compactness of conformal metrics with positive gaussian curvature in $ℝ^{2}$

Kuo-Shung Cheng, Chang-Shou Lin (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On the Paneitz energy on standard three sphere

Paul Yang, Meijun Zhu (2004)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove that the Paneitz energy on the standard three-sphere $S^{3}$ is bounded from below and extremal metrics must be conformally equivalent to the standard metric.