A Characterization of Delaunay Surfaces by Orthogonal Intersections with Geodesic Spheres in Three-Dimensional Space Forms

초록

We prove a uniqueness theorem for Delaunay surfaces among connected constant mean curvature surfaces in three-dimensional space forms that meet a one-parameter family of geodesic spheres orthogonally along arcs. Our result requires no embeddedness assumption and no topological hypothesis other than connectedness.

키워드