id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
wd375t3796b	Yueh-Ju Lin	Connected sum construction of constant Q-curvature manifolds in higher dimensions	2014		.txt	text/plain	99	3	29	For a compact Riemannian manifold $(M, g_2)$ of dimension $ngeq 6$ with constant $Q$-curvature satisfying a nondegeneracy condition, we show that one can construct many other examples of constant $Q$-curvature manifolds by a gluing construction. In particular, we prove the existence of solutions of a fourth-order partial differential equation, which implies the existence of a smooth metric with constant $Q$-curvature on the connected sum $N#M$.	cache/wd375t3796b.txt	txt/wd375t3796b.txt