11 citations · 45 across the 16 of their papers we have counts for
6 papers · 1 filter
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…
Analytic continuation of the resolvent of the Laplacian on SL(3)/SO(3)
Rafe Mazzeo, Andras Vasy
In this paper we continue our program of extending the methods of geometric scattering theory to encompass the analysis of the Laplacian on symmetric spaces of rank greater than on…
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…
Hodge cohomology of gravitational instantons
Tamas Hausel, Eugenie Hunsicker, Rafe Mazzeo
We study the space of L^2 harmonic forms on complete manifolds with metrics of fibred boundary or fibred cusp type. These metrics generalize the geometric structures at infinity of…
Scattering Theory on SL(3)/SO(3): Connections with Quantum 3-Body Scattering
Rafe Mazzeo, Andras Vasy
In this paper we continue our program of extending the methods of geometric scattering theory to encompass the analysis of the Laplacian on symmetric spaces of rank greater than on…