The work of Jesse Douglas on Minimal Surfaces

2007/10/29 by Jeremy Gray, Gray, Jeremy, Mario Micallef +1 · 1 citation
Mathematics · #Analytic and geometric function theory #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #math.DG #math.HO #msc:01A60

paper · pdf · doi:10.48550/arxiv.0710.5478

8 pages. Paper is accepted for publication in the Bulletin of the American Mathematical Society fr April 2008

arxiv created 2007/10/29 · arxiv updated 2009/12/01

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

Cited by

• Plateau's Problem: What's Next

Related

• Plateau's Problem: What's Next
• A Course in Minimal Surfaces
• The Plateau-Douglas problem for singular configurations and in general metric spaces
• Soap Film Solutions to Plateau's Problem
• Lectures on Minimal Surface Theory