Gaussian Curvature Conjecture For Minimal Graphs
Abstract
In this paper, we solve the longstanding Gaussian curvature conjecture of a minimal graph S over the unit disk. The conjecture asserts that for any minimal graph above the unit disk, the Gaussian curvature at the point directly above the origin satisfies the sharp inequality |K|
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Analytic and geometric function theory
Publication details
- Journal / source
- Duke Mathematical Journal
- Publisher
- Duke University Press
- Volume
- 175
- Issue
- 3
- Pages
- 361-396
- Publication date
- 26 January 2026
- Language
- EN