Area rigidity for the equatorial disk in the ball
Abstract
It is proved by Brendle in [4] that the equatorial disk Dk has least area among k-dimensional free boundary minimal surfaces in the Euclidean ball Bn. By comparing the excess of free boundary minimal surfaces with the excess of the associated cones over the boundary, we prove the existence of a gap for the area.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.