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math.DG2003
A conformally invariant sphere theorem in four dimensions
S. Y. A Chang, Matthew J. Gursky, Paul Yang
In this paper we provide a sharp characterization of the smooth four-dimensional sphere. The assumptions of the theorem are conformally invariant, and can be reduced to an L^2 ineq…
math.DG2003
A fully nonlinear equation on 4-manifolds with positive scalar curvature
Matthew Gursky, Jeff Viaclovsky
We present a conformal deformation involving a fully nonlinear equation in dimension 4, starting with positive scalar curvature. Assuming a certain conformal invariant is positive,…