Abstract

For a compact Riemannian manifold (M,g2) with constant Q-curvature of dimension n≥6 satisfying nondegeneracy condition, we show that one can construct many examples of constant Q-curvature manifolds by gluing construction. We provide a general procedure of gluing together (M,g2) with any compact manifold (N,g1) satisfying a geometric assumption. In particular, we can prove that there exists a metric with constant Q-curvature on the connected sum N#M.

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