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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…
Prescription of Q-curvature on closed Riemannian manifolds
David Raske
In this paper it is hown that given any smooth, positive function f on a closed, smooth manifold of dimension greater than four and with positive Paneitz invariant, there exists a…
A Fourth-Order Positivity Preserving Geometric Flow
David Raske
In this note we review some results regarding higher order elliptic differential operators on manifolds without boundary.
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…
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…