Bernstein Type Results for Lagrangian Graphs with Partially Harmonic Gauss Map
Wei Zhang
TL;DR
This paper proves Bernstein-type theorems for Lagrangian graphs with specific geometric properties, extending known results in minimal submanifold theory to new classes of Lagrangian submanifolds.
Contribution
It introduces Bernstein theorems for Lagrangian graphs with Hamiltonian minimality or conformal Maslov form, generalizing previous minimal submanifold results.
Findings
Bernstein theorems established for Hamiltonian minimal Lagrangian graphs
Extension of known minimal submanifold results to Lagrangian graphs with special properties
Generalization of classical results in minimal submanifold theory
Abstract
We establish Bernstein Theorems for Lagrangian graphs which are Hamiltonian minimal or have conformal Maslov form. Some known results of minimal (Lagrangian) submanifolds are generalized.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Computational Geometry and Mesh Generation