A two-piece property for free boundary minimal surfaces in the ball

Abstract: In this talk we will prove that every plane passing through the origin divides an embedded compact free boundary minimal surface of the euclidean 3-ball in exactly two connected surfaces. This result gives evidence to a conjecture by Fraser and Li. This is a joint work with Vanderson Lima from UFRGS, Brazil.

differential geometrygeneral mathematicsgeneral topologygroup theorysymplectic geometry

Audience: researchers in the topic

Workshop on Singularity Theory, Geometry and Related Topics

Series comments: Registration is free, but mandatory. Participantes can register at forms.gle/1kpTWgNiD4PEHJBS6