Differential Geometry

concepts · 4 notes linked

Related: Quanta Magazine · Minimal Surfaces · Mathematics · Manifolds · Topology · American Mathematical Society · Partial Differential Equations · Variational Calculus

Notes

• New Proofs Probe Soap-Film Singularities | Quanta Magazine — Generic regularity of minimizing surfaces proved through dimension 11
• Presbyopia Correction, Differential Geometry, and Free Boundary PDEs — Willmore functional and differential geometry applied to multifocal lens design
• What Are Lie Groups? | Quanta Magazine — Lie groups as continuous-symmetry manifolds bridging algebra, geometry, and physics
• What Is a Manifold? | Quanta Magazine — Explainer on mathematical manifolds, their definition, and broad applications