8 citations · 17 across the 10 of their papers we have counts for
15 papers · 1 filter
Harmonic forms on manifolds with edges
Eugenie Hunsicker, Rafe Mazzeo
Let be a compact Riemannian stratified space with simple edge singularity. Thus a neighbourhood of the singular stratum is a bundle of truncated cones over a lower dimensio…
Constant mean curvature hypersurfaces condensing along a submanifold
Fethi Mahmoudi, Rafe Mazzeo, Frank Pacard
Given any nondegenerate k-dimensional minimal submanifold K of codimension greater than 1, we prove the existence of families of constant mean curvature submanifolds, with mean cur…
Foliations by constant mean curvature tubes
Rafe Mazzeo, Frank Pacard
Let be a nondegenerate geodesic in a compact Riemannian manifold . We prove the existence of a partial foliation of a neighbourhood of by CMC surfaces which are small pe…
Maskit combinations of Poincare-Einstein metrics
Rafe Mazzeo, Frank Pacard
We establish a boundary connected sum theorem for asymptotically hyperbolic Einstein metrics; this requires no nondegeneracy hypothesis. We also show that if the two metrics have s…
Recent advances in the global theory of constant mean curvature surfaces
Rafe Mazzeo
The theory of complete surfaces of (nonzero) constant mean curvature in $\RR^3$ has progressed markedly in the last decade. This paper surveys a number of these developments in the…
Bifurcating nodoids
Rafe Mazzeo, Frank Pacard
All complete, axially symmetric surfaces of constant mean curvature in R^3 lie in the one-parameter family D_tau of Delaunay surfaces. The elements of this family which are embedde…