Communications in Analysis and Geometry

Volume 29 (2021)

Number 2

The Gauss map of a free boundary minimal surface

Pages: 483 – 499

DOI: https://dx.doi.org/10.4310/CAG.2021.v29.n2.a7

Author

Hung Tran (Department of Mathematics and Statistics, Texas Tech University, Lubbock, Tx., U.S.A.)

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.

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Received 26 November 2017

Accepted 17 September 2018

Published 19 April 2021