46 citations · 67 across the 14 of their papers we have counts for
5 papers · 1 filter
Attaching handles to Bryant surfaces
Frank Pacard, Fernando A. A. Pimentel
We prove the existence of complete, embedded, constant mean curvature 1 surfaces in 3 dimensional hyperbolic space when g, the genus of the surface, and n, the number of ends of th…
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…
Higher dimensional Scherk's hypersurfaces
Frank Pacard
In 3-dimensional Euclidean space, Scherk second surfaces are singly periodic embedded minimal surfaces with four planar ends. In this paper, we obtain a natural generalization of t…
Poincare-Einstein metrics and the Schouten tensor
Rafe Mazzeo, Frank Pacard
We examine here the space of conformally compact metrics on the interior of a compact manifold with boundary which have the property that the elementary symmetric func…
Complete embedded minimal n-submanifolds in C^n
Claudio Arezzo, Frank Pacard
In this paper we prove the existence of families of n-dimensional complete embedded minimal submanifolds of C^n with a prescribed configuration of k>1 asymptotic planes. These subm…