Opening nodes and the DPW method

Opening nodes in the DPW method: co-planar case

We combine the DPW method and opening nodes to construct embedded surfaces of positive constant mean curvature with Delaunay ends in euclidean space, with no limitation to the genus or number of ends.

Opening nodes on horosphere packings

We use Bryant Representation to construct constant mean curvature one surfaces in hyperbolic space that desingularize a horosphere packing.

通过节点展开构造的极大曲面上的奇点

Singularities on maxfaces constructed by node-opening

本文改造节点展开技术构造了多种新高亏格极大曲面，并重点分析得出其奇点集在颈部周围形成曲线，且除有限个燕尾外多为尖刃。