Linked from

The 13 pages that link to Minimal surface, each with the reason it gives.

• Differential geometryBroader topic: Its shape is characterized by differential equations involving mean curvature.

• Calculus of variationsBroader topic: Its defining condition comes from varying the surface-area functional.

• Isoperimetric inequalityRelated: Related variational methods optimize area while imposing boundary constraints.

• Geometric measure theoryRelated: Measure-theoretic methods extend area minimization beyond smooth surfaces.

• Geometric analysisBroader topic: Its defining condition is an Euler–Lagrange equation from area minimization.

• Surface of revolutionNarrower topic: The catenoid shows how a surface of revolution can solve a variational problem.

• Shing-Tung YauRelated: Schoen and Yau used minimal surfaces to prove the positive mass theorem in three dimensions.

• Plateau's lawsNarrower topic: Soap films with equal pressure on both sides approximate minimal surfaces.

• Frei OttoRelated: These surfaces helped explain the efficient shapes sought in Otto’s membrane structures.

• Jean TaylorNarrower topic: Minimal surfaces are the central geometric objects in much of Taylor’s work.

• Double bubble theoremRelated: Minimal-surface ideas describe interfaces when their pressure difference vanishes.

• Filling area conjectureNarrower topic: The hemisphere is a minimal surface, but the conjecture asks for global area minimality under fixed boundary distances.

• Honeycomb theoremRelated: Foam boundaries are governed by surface-area minimization, a higher-dimensional counterpart to perimeter minimization.