<p>We construct an infinite family of non-planar free boundary disks of non-positive Gaussian curvature in the unit ball of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {R}^3\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mn>3</mn> </msup> </math></EquationSource> </InlineEquation>.</p>

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Free Boundary Saddle Disks in the Unit Ball

  • Alberto Cerezo

摘要

We construct an infinite family of non-planar free boundary disks of non-positive Gaussian curvature in the unit ball of \(\mathbb {R}^3\) R 3 .