Document Type
Article
Publication Date
1992
Publication Title
Journal of Geometric Analysis
Abstract
Weierstrass representations are given for minimal surfaces that have free boundaries on two planes that meet at an arbitrary dihedral angle. The contact angles of a surface on the planes may be different. These surfaces illustrate the behavior of soapfilms in convex and nonconvex corners. They can also be used to show how a boundary wire can penetrate a soapfilm with a free end, as in the overhand knot surface. They should also cast light on the behavior of capillary surfaces.
Recommended Citation
K. Brakke, Minimal Surfaces, Corners, and Wires, J. Geom. Anal. vol. 2 no. 1 (1992), 11-36.
COinS