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math.DG2008
Connected sums of closed Riemannian manifolds and fourth order conformal invariants
David Raske
In this note we take some initial steps in the investigation of a fourth order analogue of the Yamabe problem in conformal geometry. The Paneitz constants and the Paneitz invariant…
math.DG2005★ 1 cited
On positive solutions to semi-linear conformally invariant equations on locally conformally flat manifolds
Jie Qing, David Raske
In this paper we study the existence and compactness of positive solutions to a family of conformally invariant equations on closed locally conformally flat manifolds. The family o…
math.DG2005
Compactness for conformal metrics with Constant curvature on locally conformally flat manifolds
Jie Qing, David Raske
In this note we study the conformal metrics of constant curvature on closed locally conformally flat manifolds. We prove that for a closed locally conformally flat manifold of…