Constant mean curvature surfaces with Delaunay ends

Details Constant mean curvature surfaces with Delaunay ends Constant mean curvature surfaces with Delaunay ends

1998-07-08

arxiv.org/abs/math/9807039v1

Mathematics

Differential Geometry

Scientific paper

We construct a new class of complete constant mean curvature surfaces in R^3. These are geometrically different than the surfaces constructed by Kapouleas' gluing technique. These are obtained by piecing together half-Delaunay surfaces to the truncations of minimal k-noids. The gluing techniques are new: the surfaces are obtained by matching Cauchy data from the infinite dimensional family of exact solutions of the problem on each of the component pieces. These surfaces are also proved to be nondegenerate in the CMC moduli space.

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