46 citations · 80 across the 19 of their papers we have counts for
4 papers · 2 filters
Higher genus Riemann minimal surfaces
Laurent Hauswirth, Frank Pacard
We construct higher genus Riemann's minimal surfaces properly embedded in the Euclidean space. To do that we glue end by end a Costa-Hoffman-Meeks examples to two halves genus zero…
Generalized Doubling Constructions for Constant Mean Curvature Hypersurfaces in the (n+1)-Sphere
Adrian Butscher, Frank Pacard
The (n+1)-sphere contains a simple family of constant mean curvature (CMC) hypersurfaces which are products of lower-dimensional spheres called the generalized Clifford hypersurfac…
Doubling Constant Mean Curvature Tori in the 3-Sphere
Adrian Butscher, Frank Pacard
The Clifford tori in the 3-sphere are a one-parameter family of flat, two-dimensional, constant mean curvature (CMC) surfaces. This paper demonstrates that new, topologically non-t…
Blowing up Kähler manifolds with constant scalar curvature II
Claudio Arezzo, Frank Pacard
In this paper we continue our study about the existence of Kaehler metrics of constant scalar curvature (Kcsc) on blow ups at points of compact manifolds with Kcsc metrics started…