Displaying similar documents to “On a fully nonlinear Yamabe problem”

Monopole metrics and the orbifold Yamabe problem

Jeff A. Viaclovsky (2010)

Annales de l’institut Fourier

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We consider the self-dual conformal classes on n # ℂℙ 2 discovered by LeBrun. These depend upon a choice of n points in hyperbolic 3 -space, called monopole points. We investigate the limiting behavior of various constant scalar curvature metrics in these conformal classes as the points approach each other, or as the points tend to the boundary of hyperbolic space. There is a close connection to the orbifold Yamabe problem, which we show is not always solvable (in contrast to the case of compact...

Some progress in conformal geometry.

Chang, Sun-Yung A., Qing, Jie, Yang, Paul (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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