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The Gauss map of a free boundary minimal surface

Differential Geometry 2017-11-16 v1

Abstract

In this paper, we study the Gauss map of a free boundary minimal surface. The main theorem asserts that if components of the Gauss map are eigenfunctions of the Jacobi-Steklov operator, then the surface must be rotationally symmetric.

Keywords

Cite

@article{arxiv.1711.05682,
  title  = {The Gauss map of a free boundary minimal surface},
  author = {Hung Tran},
  journal= {arXiv preprint arXiv:1711.05682},
  year   = {2017}
}

Comments

12 pages, comments welcome