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  1. ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract We study the Yamabe flow starting from an asymptotically flat manifold ( M n , g 0 ) (M^{n},g_{0}).We show that the flow converges to an asymptotically flat, scalar flat metric in a weighted global sense if Y ⁢ ( M , [ g 0 ] ) > 0 Y(M,[g_{0}])>0, and show that the flow does not converge otherwise.If the scalar curvature is nonnegative and integrable, then the ADM mass at time infinity drops by the limit of the total scalar curvature along the flow. 
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  2. ; ; ; ; (, Advanced Nonlinear Studies)
    Abstract In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω \Omegaof the CR manifold S 3 {{\mathbb{S}}}^{3}bounded by the Clifford torus Σ \Sigmais discussed. The Yamabe-type problem of finding a contact form on Ω \Omegawhich has zero Tanaka-Webster scalar curvature and for which Σ \Sigmahas a constant p p-mean curvature is also discussed. 
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  3. ; ; (, Journal of Functional Analysis)
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  4. ; ; (, Journal of Functional Analysis)
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  5. (, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE)
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  6. ; ; (, Advances in Mathematics)
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  7. ; (, New Zealand Journal of Mathematics)
    In this paper, on 4-spheres equipped with Riemannian metrics we study some integral conformal invariants, the sign and size of which under Ricci flow characterize the standard 4-sphere. We obtain a conformal gap theorem, and for Yamabe metrics of positive scalar curvature with L^2 norm of the Weyl tensor of the metric suitably small, we establish the monotonic decay of the L^p norm for certain p>2 of the reduced curvature tensor along the normalized Ricci flow, with the metric converging exponentially to the standard 4-sphere. 
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