Work

Free boundary minimal surfaces of genus zero

Year: 2026
Type: preprint
Abstract: We prove that any embedded genus zero free boundary minimal surface in the ball has first Steklov eigenvalue $1$. This implies the uniqueness of the critical catenoid.
Language: English
Open Access status: green
OpenAlex ID: W7213020325
Cites: 6
Cited by: 5
Related to: 10