2 papers
math.DG2019
On the variation of curvature functionals in space forms with application to a generalized Willmore energy
Anthony Gruber, Magdalena Toda, Hung Tran
Functionals involving surface curvature are important across a range of scientific disciplines, and their extrema are representative of physically meaningful objects such as atomic…
math.DG2017
The Gauss map of a free boundary minimal surface
Hung Tran
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 oper…