Partial Differential Equations in Conformal Geometry
Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Differential and Functional-Differential Equations — Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11–17 August, 2002). Part 2, Tome 2 (2003), pp. 95-102

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In this paper we present our recent work on conformally compact Einstein 4-manifolds. We present our discovery of a conformal compactification by positive eigenfunctions and many interesting consequences of this compactification in the study of topology of conformally compact Einstein 4-manifolds.
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     author = {J. Qing},
     title = {Partial {Differential} {Equations} in {Conformal} {Geometry}},
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J. Qing. Partial Differential Equations in Conformal Geometry. Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Differential and Functional-Differential Equations — Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11–17 August, 2002). Part 2, Tome 2 (2003), pp. 95-102. http://geodesic.mathdoc.fr/item/CMFD_2003_2_a5/