114 citations · 456 across the 23 of their papers we have counts for
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Gluing and moduli for noncompact geometric problems
Rafe Mazzeo, Daniel Pollack
In this paper we survey a number of recent results concerning the existence and moduli spaces of solutions of various geometric problems on noncompact manifolds. The three problems…
Connected sum constructions for constant scalar curvature metrics
Rafe Mazzeo, Daniel Pollack, Karen Uhlenbeck
We give a general procedure for gluing together possibly noncompact manifolds of constant scalar curvature which satisfy an extra nondegeneracy hypothesis. Our aim is to provide a…
The Moduli Space of Complete Embedded Constant Mean Curvature Surfaces
Rob Kusner, Rafe Mazzeo, Daniel Pollack
We examine the space of surfaces in $\RR^{3}$ which are complete, properly embedded and have nonzero constant mean curvature. These surfaces are noncompact provided we exclude the…
Moduli Spaces of Singular Yamabe Metrics
Rafe Mazzeo, Daniel Pollack, Karen Uhlenbeck
Complete, conformally flat metrics of constant positive scalar curvature on the complement of points in the -sphere, , , were constructed by R\. Schoen [S2…