English

A Bernstein type result for special Lagrangian submanifolds

Differential Geometry 2016-09-07 v1 Analysis of PDEs

Abstract

Let \Sigma be a complete minimal Lagrangian submanifold of \C^n. We identify regions in the Grassmannian of Lagrangian subspaces so that whenever the image of the Gauss map of \Sigma lies in one of these regions, then \Sigma is an affine space.

Keywords

Cite

@article{arxiv.math/0201215,
  title  = {A Bernstein type result for special Lagrangian submanifolds},
  author = {Mao-Pei Tsui and Mu-Tao Wang},
  journal= {arXiv preprint arXiv:math/0201215},
  year   = {2016}
}