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.
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Computational Theory and Mathematics
- Conformal geometry
- Connected sum
- Paneitz operator