Rigidity of the entire solutions of 2-Hessian equation
Li Chen, Ni Xiang
TL;DR
This paper proves rigidity theorems for entire 2-convex solutions of the 2-Hessian equation, leading to a Bernstein type theorem for global special Lagrangian graphs in Euclidean space.
Contribution
It establishes new rigidity results for solutions of the 2-Hessian equation and applies them to characterize special Lagrangian graphs.
Findings
Rigidity theorems for entire 2-convex solutions
Bernstein type theorem for special Lagrangian graphs
Characterization of solutions in Euclidean space
Abstract
In this paper, we prove some rigidity theorems for the entire 2-convex solutions of 2-Hessian equation in Euclidean space. As an application, we obtain a Bernstein type theorem for global special Lagrangian graphs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Nonlinear Partial Differential Equations