Free Boundary Saddle Disks in the Unit Ball

Abstract We construct an infinite family of non-planar free boundary disks of non-positive Gaussian curvature in the unit ball of $$\mathbb {R}^3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:math> .

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Publication Details

Journal
Journal of Geometric Analysis
Published
2026-05-11
DOI
https://doi.org/10.1007/s12220-026-02451-8
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Free Boundary Saddle Disks in the Unit Ball

Alberto Cerezo
Journal of Geometric Analysis
Geometric Analysis and Curvature Flows
article

Free Boundary Saddle Disks in the Unit Ball

Alberto Cerezo
article en

Abstract

Abstract We construct an infinite family of non-planar free boundary disks of non-positive Gaussian curvature in the unit ball of $$\mathbb {R}^3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:math> .

Journal of Geometric AnalysisVol. 36(6)
University of Castilla-La Mancha (ES)
Agencia Estatal de Investigación, European Social Fund
Openalex Percentile: Top 97%
Geometric Analysis and Curvature Flows
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