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math.DG2001
The conformal theory of Alexandrov embedded constant mean curvature surfaces in
Rafe Mazzeo, Frank Pacard, Dan Pollack
We first prove a general gluing theorem which creates new nondegenerate constant mean curvature surfaces by attaching half Delaunay surfaces with small necksize to arbitrary points…
math.DG1999
Connected sums of constant mean curvature surfaces in Euclidean 3 space
Rafe Mazzeo, Frank Pacard, Daniel Pollack
We establish a general `gluing theorem', which states roughly that if two nondegenerate constant mean curvature surfaces are juxtaposed, so that their tangent planes are parallel a…