The work of Jesse Douglas on Minimal Surfaces

2007/10/29 by Jeremy Gray, Gray, Jeremy, Micallef, Mario
Mathematics · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows #Analytic and geometric function theory

paper · doi:10.48550/arxiv.0710.5478

Abstract

This paper describes the work of Jesse Douglas on the Plateau problem, work for which he was awarded a Fields Medal in 1936, and considers the contributions Tibor Rado made in the 1930s.

Citations

• Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

Related

• Plateau's Problem: What's Next
• The Plateau-Douglas problem for singular configurations and in general metric spaces
• Soap Film Solutions to Plateau's Problem
• Area minimizing surfaces of bounded genus in metric spaces
• Minimal Surfaces in H²xR