2 papers
math.DG2021
Free-Boundary Problems for Holomorphic Curves in the 6-Sphere
Jesse Madnick
We remark on two different free-boundary problems for holomorphic curves in nearly-Kähler 6-manifolds. First, we observe that a holomorphic curve in a geodesic ball of the roun…
math.DG2020
Free-Boundary Minimal Surfaces of Constant Kahler Angle in Complex Space Forms
Jesse Madnick
In real space forms, Fraser and Schoen proved that a free-boundary minimal disk in a geodesic ball is totally geodesic. In this note, we consider free-boundary minimal surfaces …