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math.DG2005
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…
math.DG2005
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…