Characterization of embedded free boundary surfaces in the ball

2016/09/25 by José M. Espinar, Espinar, José M., Harold Rosenberg +1
Chemical Engineering · Engineering · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Nonlinear Partial Differential Equations #Rheology and Fluid Dynamics Studies

paper · pdf · doi:10.48550/arxiv.1609.07810

openalex publication_date 2016/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the only embedded free boundary minimal surface Σ in \mathbbB³ with index 4 is the critical catenoid. This extends fundamental work of A. Fraser and R. Schoen, as well as the work of H. Tran.

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